LMFDB - Elliptic curves over $\Q$ of conductor 2310

Refine search

Conductor	Discriminant	j-invariant	Rank

Bad$\ p$	Curves per isogeny class	Complex multiplication	Torsion

Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

Analytic order of Ш	$p\ $div$\ $\|Ш\|	Regulator	Reduction	Faltings height

Galois image	Adelic level	Adelic index	Adelic genus

Nonmax$\ \ell$	$abc$ quality	Szpiro ratio

		Sort order	Select

Results (1-50 of 98 matches)

Next Download displayed columns for results to

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	Semistable	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
2310.a1	2310a3	2310.a	2310a	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{5} \cdot 3^{4} \cdot 5^{3} \cdot 7 \cdot 11^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$840$	$48$	$0$	$3.462324500$	$1$		$4$	$15360$	$1.727100$	$388980071198593573609/486165942108000$	$1.00334$	$6.12137$	$[1, 1, 0, -152078, 22739028]$	$y^2+xy=x^3+x^2-152078x+22739028$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 140.12.0.?, $\ldots$	$[(233, 32)]$
2310.a2	2310a2	2310.a	2310a	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{10} \cdot 3^{2} \cdot 5^{6} \cdot 7^{2} \cdot 11^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$840$	$48$	$0$	$1.731162250$	$1$		$12$	$7680$	$1.380527$	$194878967635813609/103306896000000$	$1.00325$	$5.14024$	$[1, 1, 0, -12078, 143028]$	$y^2+xy=x^3+x^2-12078x+143028$	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.3, 140.12.0.?, $\ldots$	$[(9, 183)]$
2310.a3	2310a1	2310.a	2310a	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{20} \cdot 3 \cdot 5^{3} \cdot 7 \cdot 11^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$840$	$48$	$0$	$3.462324500$	$1$		$5$	$3840$	$1.033953$	$37262716093162729/333053952000$	$0.96515$	$4.92663$	$[1, 1, 0, -6958, -224588]$	$y^2+xy=x^3+x^2-6958x-224588$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.2, $\ldots$	$[(-51, 55)]$
2310.a4	2310a4	2310.a	2310a	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{5} \cdot 3 \cdot 5^{12} \cdot 7^{4} \cdot 11^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$840$	$48$	$0$	$3.462324500$	$1$		$4$	$15360$	$1.727100$	$10765621376623941911/6809085937500000$	$1.01940$	$5.65821$	$[1, 1, 0, 46002, 1176852]$	$y^2+xy=x^3+x^2+46002x+1176852$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$	$[(-13, 766)]$
2310.b1	2310b3	2310.b	2310b	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{7} \cdot 3^{28} \cdot 5 \cdot 7 \cdot 11^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$840$	$48$	$0$	$1$	$4$	$2$	$0$	$100352$	$2.518356$	$2958414657792917260183849/12401051653985258880$	$1.03016$	$7.27523$	$[1, 1, 0, -2990738, 1982276532]$	$y^2+xy=x^3+x^2-2990738x+1982276532$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 140.12.0.?, $\ldots$	$[]$
2310.b2	2310b2	2310.b	2310b	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{14} \cdot 3^{14} \cdot 5^{2} \cdot 7^{2} \cdot 11^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$840$	$48$	$0$	$1$	$1$		$2$	$50176$	$2.171783$	$2436531580079063806249/1405478914998681600$	$1.13600$	$6.35828$	$[1, 1, 0, -280338, -3362508]$	$y^2+xy=x^3+x^2-280338x-3362508$	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.3, 140.12.0.?, $\ldots$	$[]$
2310.b3	2310b1	2310.b	2310b	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{28} \cdot 3^{7} \cdot 5 \cdot 7 \cdot 11^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$840$	$48$	$0$	$1$	$4$	$2$	$1$	$25088$	$1.825209$	$863913648706111516969/2486234429521920$	$1.06300$	$6.22440$	$[1, 1, 0, -198418, -34016972]$	$y^2+xy=x^3+x^2-198418x-34016972$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.2, $\ldots$	$[]$
2310.b4	2310b4	2310.b	2310b	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{7} \cdot 3^{7} \cdot 5^{4} \cdot 7^{4} \cdot 11^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$840$	$48$	$0$	$1$	$1$		$0$	$100352$	$2.518356$	$155099895405729262880471/90047655797243760000$	$1.08150$	$6.89456$	$[1, 1, 0, 1119342, -25477452]$	$y^2+xy=x^3+x^2+1119342x-25477452$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$	$[]$
2310.c1	2310c3	2310.c	2310c	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{3} \cdot 3^{4} \cdot 5^{2} \cdot 7^{8} \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$264$	$48$	$0$	$0.274169441$	$1$		$10$	$6144$	$1.150806$	$200005594092187129/1027287538200$	$0.97311$	$5.14359$	$[1, 1, 0, -12183, 510237]$	$y^2+xy=x^3+x^2-12183x+510237$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 44.12.0-4.c.1.1, $\ldots$	$[(51, 132)]$
2310.c2	2310c2	2310.c	2310c	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{6} \cdot 3^{2} \cdot 5^{4} \cdot 7^{4} \cdot 11^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$264$	$48$	$0$	$0.548338883$	$1$		$18$	$3072$	$0.804233$	$183337554283129/104587560000$	$0.99559$	$4.24046$	$[1, 1, 0, -1183, -2363]$	$y^2+xy=x^3+x^2-1183x-2363$	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.3, 44.12.0-2.a.1.1, $\ldots$	$[(-9, 92)]$
2310.c3	2310c1	2310.c	2310c	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{12} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$264$	$48$	$0$	$1.096677767$	$1$		$7$	$1536$	$0.457659$	$71210194441849/165580800$	$0.92929$	$4.11835$	$[1, 1, 0, -863, -10107]$	$y^2+xy=x^3+x^2-863x-10107$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.2, $\ldots$	$[(-17, 5)]$
2310.c4	2310c4	2310.c	2310c	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{3} \cdot 3 \cdot 5^{8} \cdot 7^{2} \cdot 11^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$264$	$48$	$0$	$1.096677767$	$1$		$6$	$6144$	$1.150806$	$11456208593737991/6725709375000$	$1.01509$	$4.77434$	$[1, 1, 0, 4697, -12947]$	$y^2+xy=x^3+x^2+4697x-12947$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$	$[(33, 407)]$
2310.d1	2310d3	2310.d	2310d	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 7^{4} \cdot 11 $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.7	2B	$3080$	$48$	$0$	$0.338363607$	$1$		$18$	$2048$	$0.631628$	$1080077156587801/594247500$	$0.94602$	$4.46944$	$[1, 1, 0, -2137, 37129]$	$y^2+xy=x^3+x^2-2137x+37129$	2.3.0.a.1, 4.12.0-4.c.1.1, 44.24.0-44.h.1.2, 280.24.0.?, 3080.48.0.?	$[(28, 1)]$
2310.d2	2310d2	2310.d	2310d	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.1	2Cs	$1540$	$48$	$0$	$0.676727214$	$1$		$14$	$1024$	$0.285054$	$432252699481/192099600$	$0.91312$	$3.45930$	$[1, 1, 0, -157, 301]$	$y^2+xy=x^3+x^2-157x+301$	2.6.0.a.1, 4.12.0-2.a.1.1, 44.24.0-44.a.1.1, 140.24.0.?, 1540.48.0.?	$[(-5, 34)]$
2310.d3	2310d1	2310.d	2310d	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{8} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.6	2B	$3080$	$48$	$0$	$1.353454428$	$1$		$7$	$512$	$-0.061519$	$51520374361/887040$	$1.02035$	$3.18467$	$[1, 1, 0, -77, -291]$	$y^2+xy=x^3+x^2-77x-291$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 44.12.0-4.c.1.2, 88.24.0.?, $\ldots$	$[(-5, 3)]$
2310.d4	2310d4	2310.d	2310d	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{2} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 11^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.8	2B	$3080$	$48$	$0$	$1.353454428$	$1$		$4$	$2048$	$0.631628$	$17655210697319/13448344140$	$0.94443$	$3.93829$	$[1, 1, 0, 543, 2961]$	$y^2+xy=x^3+x^2+543x+2961$	2.3.0.a.1, 4.12.0-4.c.1.2, 70.6.0.a.1, 88.24.0.?, 140.24.0.?, $\ldots$	$[(15, 114)]$
2310.e1	2310e1	2310.e	2310e	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{10} \cdot 3^{2} \cdot 5^{3} \cdot 7 \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$1$	$960$	$0.246133$	$529278808969/88704000$	$0.89774$	$3.48544$	$[1, 0, 1, -169, -724]$	$y^2+xy+y=x^3-169x-724$	2.3.0.a.1, 24.6.0.c.1, 770.6.0.?, 9240.12.0.?	$[]$
2310.e2	2310e2	2310.e	2310e	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{5} \cdot 3 \cdot 5^{6} \cdot 7^{2} \cdot 11^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$9240$	$12$	$0$	$1$	$1$		$0$	$1920$	$0.592707$	$3342032927351/8893500000$	$0.93666$	$3.88871$	$[1, 0, 1, 311, -3988]$	$y^2+xy+y=x^3+311x-3988$	2.3.0.a.1, 24.6.0.b.1, 1540.6.0.?, 9240.12.0.?	$[]$
2310.f1	2310f4	2310.f	2310f	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{2} \cdot 3^{5} \cdot 5 \cdot 7^{4} \cdot 11^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$9240$	$48$	$0$	$0.132675385$	$1$		$16$	$5120$	$1.196627$	$1953542217204454969/170843779260$	$0.98306$	$5.43785$	$[1, 0, 1, -26044, 1615406]$	$y^2+xy+y=x^3-26044x+1615406$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0-4.c.1.2, 60.24.0-60.h.1.4, $\ldots$	$[(91, -79)]$
2310.f2	2310f3	2310.f	2310f	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{2} \cdot 3^{20} \cdot 5 \cdot 7 \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$9240$	$48$	$0$	$0.530701542$	$1$		$8$	$5120$	$1.196627$	$93137706732176569/5369647977540$	$0.97068$	$5.04491$	$[1, 0, 1, -9444, -335954]$	$y^2+xy+y=x^3-9444x-335954$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.3, 120.24.0.?, $\ldots$	$[(-46, 63)]$
2310.f3	2310f2	2310.f	2310f	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$4620$	$48$	$0$	$0.265350771$	$1$		$22$	$2560$	$0.850053$	$586145095611769/140040608400$	$0.94943$	$4.39052$	$[1, 0, 1, -1744, 21326]$	$y^2+xy+y=x^3-1744x+21326$	2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.a.1.3, 308.12.0.?, $\ldots$	$[(61, 347)]$
2310.f4	2310f1	2310.f	2310f	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{8} \cdot 3^{5} \cdot 5^{4} \cdot 7 \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$9240$	$48$	$0$	$0.530701542$	$1$		$9$	$1280$	$0.503479$	$1865864036231/2993760000$	$0.92709$	$3.72203$	$[1, 0, 1, 256, 2126]$	$y^2+xy+y=x^3+256x+2126$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$	$[(9, 67)]$
2310.g1	2310h3	2310.g	2310h	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2 \cdot 3^{8} \cdot 5^{4} \cdot 7 \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$3080$	$48$	$0$	$0.750353154$	$1$		$6$	$2048$	$0.511941$	$71210194441849/631496250$	$0.92945$	$4.11835$	$[1, 0, 1, -864, -9764]$	$y^2+xy+y=x^3-864x-9764$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.y.1.6, 308.12.0.?, $\ldots$	$[(-16, 3)]$
2310.g2	2310h2	2310.g	2310h	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{2} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$3080$	$48$	$0$	$0.375176577$	$1$		$16$	$1024$	$0.165368$	$90458382169/48024900$	$1.08197$	$3.25735$	$[1, 0, 1, -94, 92]$	$y^2+xy+y=x^3-94x+92$	2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.b.1.3, 308.12.0.?, $\ldots$	$[(-5, 23)]$
2310.g3	2310h1	2310.g	2310h	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$3080$	$48$	$0$	$0.750353154$	$1$		$7$	$512$	$-0.181206$	$43949604889/55440$	$0.87007$	$3.16414$	$[1, 0, 1, -74, 236]$	$y^2+xy+y=x^3-74x+236$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.2, 40.24.0-40.y.1.9, $\ldots$	$[(6, 1)]$
2310.g4	2310h4	2310.g	2310h	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2 \cdot 3^{2} \cdot 5 \cdot 7^{4} \cdot 11^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$3080$	$48$	$0$	$0.750353154$	$1$		$6$	$2048$	$0.511941$	$5009866738631/3163773690$	$0.94867$	$3.77565$	$[1, 0, 1, 356, 812]$	$y^2+xy+y=x^3+356x+812$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0-4.c.1.1, 40.24.0-40.s.1.4, $\ldots$	$[(10, 68)]$
2310.h1	2310g7	2310.h	2310g	$8$	$12$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{9} \cdot 3^{8} \cdot 5^{12} \cdot 7 \cdot 11^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	8.12.0.7, 3.8.0.2	2B, 3B.1.2	$9240$	$384$	$5$	$9.982572605$	$1$		$0$	$165888$	$2.832241$	$1826870018430810435423307849/7641104625000000000$	$1.04524$	$8.10489$	$[1, 0, 1, -25467989, -49471735264]$	$y^2+xy+y=x^3-25467989x-49471735264$	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 8.12.0-4.c.1.3, $\ldots$	$[(-1165779/20, 8314259/20)]$
2310.h2	2310g6	2310.h	2310g	$8$	$12$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{18} \cdot 3^{4} \cdot 5^{6} \cdot 7^{2} \cdot 11^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	8.12.0.1, 3.8.0.2	2Cs, 3B.1.2	$9240$	$384$	$5$	$4.991286302$	$1$		$2$	$82944$	$2.485668$	$467116778179943012100169/28800309694464000000$	$1.02626$	$7.03691$	$[1, 0, 1, -1616469, -747850208]$	$y^2+xy+y=x^3-1616469x-747850208$	2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, $\ldots$	$[(7019/2, 334227/2)]$
2310.h3	2310g4	2310.h	2310g	$8$	$12$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{3} \cdot 3^{24} \cdot 5^{4} \cdot 7^{3} \cdot 11 $	$1$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	8.12.0.7, 3.8.0.1	2B, 3B.1.1	$9240$	$384$	$5$	$3.327524201$	$1$		$8$	$55296$	$2.282936$	$9278380528613437145689/5328033205714065000$	$1.06569$	$6.53092$	$[1, 0, 1, -437774, -9825928]$	$y^2+xy+y=x^3-437774x-9825928$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.3, $\ldots$	$[(756, 9184)]$
2310.h4	2310g3	2310.h	2310g	$8$	$12$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{36} \cdot 3^{2} \cdot 5^{3} \cdot 7 \cdot 11^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	8.12.0.12, 3.8.0.2	2B, 3B.1.2	$9240$	$384$	$5$	$9.982572605$	$1$		$1$	$41472$	$2.139095$	$3160944030998056790089/720291785342976000$	$1.01551$	$6.39188$	$[1, 0, 1, -305749, 50640416]$	$y^2+xy+y=x^3-305749x+50640416$	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 8.12.0-4.c.1.2, $\ldots$	$[(32065/8, 2341939/8)]$
2310.h5	2310g2	2310.h	2310g	$8$	$12$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 7^{6} \cdot 11^{2} $	$1$	$\Z/2\Z\oplus\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	8.12.0.1, 3.8.0.1	2Cs, 3B.1.1	$9240$	$384$	$5$	$1.663762100$	$1$		$26$	$27648$	$1.936361$	$2610383204210122997209/12104550027662400$	$1.00979$	$6.36717$	$[1, 0, 1, -286854, 58872856]$	$y^2+xy+y=x^3-286854x+58872856$	2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, $\ldots$	$[(269, 957)]$
2310.h6	2310g1	2310.h	2310g	$8$	$12$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{12} \cdot 3^{6} \cdot 5 \cdot 7^{3} \cdot 11 $	$1$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	8.12.0.12, 3.8.0.1	2B, 3B.1.1	$9240$	$384$	$5$	$3.327524201$	$1$		$11$	$13824$	$1.589788$	$2601656892010848045529/56330588160$	$1.00969$	$6.36674$	$[1, 0, 1, -286534, 59011352]$	$y^2+xy+y=x^3-286534x+59011352$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.2, $\ldots$	$[(334, 605)]$
2310.h7	2310g5	2310.h	2310g	$8$	$12$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{3} \cdot 3^{6} \cdot 5 \cdot 7^{12} \cdot 11^{4} $	$1$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	8.12.0.8, 3.8.0.1	2B, 3B.1.1	$9240$	$384$	$5$	$3.327524201$	$1$		$8$	$55296$	$2.282936$	$-310366976336070130009/5909282337130963560$	$1.03852$	$6.54715$	$[1, 0, 1, -141054, 118709176]$	$y^2+xy+y=x^3-141054x+118709176$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.4, $\ldots$	$[(170, 9897)]$
2310.h8	2310g8	2310.h	2310g	$8$	$12$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{9} \cdot 3^{2} \cdot 5^{3} \cdot 7^{4} \cdot 11^{12} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	8.12.0.8, 3.8.0.2	2B, 3B.1.2	$9240$	$384$	$5$	$9.982572605$	$1$		$0$	$165888$	$2.832241$	$223090928422700449019831/4340371122724101696000$	$1.05504$	$7.39145$	$[1, 0, 1, 1263531, -3122122208]$	$y^2+xy+y=x^3+1263531x-3122122208$	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 8.12.0-4.c.1.4, $\ldots$	$[(150899/10, 46374087/10)]$
2310.i1	2310i3	2310.i	2310i	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{18} \cdot 3^{2} \cdot 5^{3} \cdot 7^{3} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$9240$	$96$	$1$	$1$	$1$		$1$	$5184$	$1.121216$	$89343998142858649/1112702976000$	$0.96948$	$5.03954$	$[1, 0, 1, -9314, -342988]$	$y^2+xy+y=x^3-9314x-342988$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 24.48.0-24.cc.1.13, 770.6.0.?, $\ldots$	$[]$
2310.i2	2310i4	2310.i	2310i	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{9} \cdot 3 \cdot 5^{6} \cdot 7^{6} \cdot 11^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$9240$	$96$	$1$	$1$	$1$		$0$	$10368$	$1.467789$	$-482056280171929/341652696000000$	$1.03662$	$5.28345$	$[1, 0, 1, -1634, -889804]$	$y^2+xy+y=x^3-1634x-889804$	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 24.48.0-24.cb.1.11, 1540.6.0.?, $\ldots$	$[]$
2310.i3	2310i1	2310.i	2310i	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{6} \cdot 3^{6} \cdot 5 \cdot 7 \cdot 11^{3} $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$9240$	$96$	$1$	$1$	$1$		$5$	$1728$	$0.571910$	$80224711835689/2173469760$	$0.93067$	$4.13374$	$[1, 0, 1, -899, 10046]$	$y^2+xy+y=x^3-899x+10046$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 24.48.0-24.cc.1.15, 770.6.0.?, $\ldots$	$[]$
2310.i4	2310i2	2310.i	2310i	$4$	$6$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{3} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 11^{6} $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$9240$	$96$	$1$	$1$	$1$		$4$	$3456$	$0.918484$	$661003929431/468755040600$	$1.01021$	$4.43218$	$[1, 0, 1, 181, 32942]$	$y^2+xy+y=x^3+181x+32942$	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 24.48.0-24.cb.1.15, 1540.6.0.?, $\ldots$	$[]$
2310.j1	2310k3	2310.j	2310k	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2 \cdot 3^{8} \cdot 5^{3} \cdot 7 \cdot 11^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$3080$	$48$	$0$	$0.481315981$	$1$		$6$	$6144$	$1.047377$	$95946737295893401/168104301750$	$0.96959$	$5.04875$	$[1, 0, 1, -9538, -358762]$	$y^2+xy+y=x^3-9538x-358762$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 56.12.0-4.c.1.1, 88.12.0.?, $\ldots$	$[(-56, 5)]$
2310.j2	2310k4	2310.j	2310k	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2 \cdot 3^{2} \cdot 5^{12} \cdot 7 \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$3080$	$48$	$0$	$0.481315981$	$1$		$6$	$6144$	$1.047377$	$50834334659676121/338378906250$	$0.96663$	$4.96673$	$[1, 0, 1, -7718, 258806]$	$y^2+xy+y=x^3-7718x+258806$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 44.12.0-4.c.1.1, 56.12.0-4.c.1.2, $\ldots$	$[(60, 82)]$
2310.j3	2310k2	2310.j	2310k	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{2} \cdot 3^{4} \cdot 5^{6} \cdot 7^{2} \cdot 11^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$3080$	$48$	$0$	$0.240657990$	$1$		$22$	$3072$	$0.700803$	$54014438633401/30015562500$	$0.97345$	$4.08267$	$[1, 0, 1, -788, -1762]$	$y^2+xy+y=x^3-788x-1762$	2.6.0.a.1, 20.12.0-2.a.1.1, 44.12.0-2.a.1.1, 56.12.0-2.a.1.1, 220.24.0.?, $\ldots$	$[(-6, 55)]$
2310.j4	2310k1	2310.j	2310k	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{4} \cdot 3^{2} \cdot 5^{3} \cdot 7^{4} \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$3080$	$48$	$0$	$0.481315981$	$1$		$9$	$1536$	$0.354229$	$788632918919/475398000$	$0.94654$	$3.53693$	$[1, 0, 1, 192, -194]$	$y^2+xy+y=x^3+192x-194$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 44.12.0-4.c.1.2, 56.12.0-4.c.1.4, $\ldots$	$[(5, 27)]$
2310.k1	2310j4	2310.k	2310j	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{3} \cdot 3^{4} \cdot 5^{4} \cdot 7 \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$3080$	$48$	$0$	$0.666885710$	$1$		$6$	$12288$	$1.441526$	$2084105208962185000201/31185000$	$1.00897$	$6.33810$	$[1, 0, 1, -266113, 52815788]$	$y^2+xy+y=x^3-266113x+52815788$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 44.12.0-4.c.1.1, 56.12.0-4.c.1.2, $\ldots$	$[(304, 35)]$
2310.k2	2310j3	2310.k	2310j	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{3} \cdot 3^{16} \cdot 5 \cdot 7 \cdot 11^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$3080$	$48$	$0$	$0.666885710$	$1$		$6$	$12288$	$1.441526$	$648474704552553481/176469171805080$	$0.98578$	$5.29547$	$[1, 0, 1, -18033, 676876]$	$y^2+xy+y=x^3-18033x+676876$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 56.12.0-4.c.1.1, 88.12.0.?, $\ldots$	$[(32, 348)]$
2310.k3	2310j2	2310.k	2310j	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{6} \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$3080$	$48$	$0$	$0.333442855$	$1$		$20$	$6144$	$1.094952$	$508859562767519881/62240270400$	$0.97724$	$5.26416$	$[1, 0, 1, -16633, 824156]$	$y^2+xy+y=x^3-16633x+824156$	2.6.0.a.1, 20.12.0-2.a.1.1, 44.12.0-2.a.1.1, 56.12.0-2.a.1.1, 220.24.0.?, $\ldots$	$[(82, 74)]$
2310.k4	2310j1	2310.k	2310j	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ - 2^{12} \cdot 3^{4} \cdot 5 \cdot 7^{4} \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$3080$	$48$	$0$	$0.666885710$	$1$		$7$	$3072$	$0.748379$	$-95575628340361/43812679680$	$0.94010$	$4.23168$	$[1, 0, 1, -953, 15068]$	$y^2+xy+y=x^3-953x+15068$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 44.12.0-4.c.1.2, 56.12.0-4.c.1.4, $\ldots$	$[(12, 67)]$
2310.l1	2310l7	2310.l	2310l	$8$	$12$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{3} \cdot 3 \cdot 5 \cdot 7^{3} \cdot 11^{12} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	4.6.0.1, 3.8.0.2	2B, 3B.1.2	$9240$	$384$	$5$	$1$	$4$	$2$	$0$	$27648$	$2.031281$	$1864737106103260904761/129177711985836360$	$1.00993$	$6.32374$	$[1, 0, 1, -256428, 46871746]$	$y^2+xy+y=x^3-256428x+46871746$	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$	$[]$
2310.l2	2310l4	2310.l	2310l	$8$	$12$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2 \cdot 3^{3} \cdot 5^{3} \cdot 7 \cdot 11^{4} $	$0$	$\Z/6\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	4.6.0.1, 3.8.0.1	2B, 3B.1.1	$9240$	$384$	$5$	$1$	$4$	$2$	$4$	$9216$	$1.481976$	$1769857772964702379561/691787250$	$1.00843$	$6.31700$	$[1, 0, 1, -252003, 48670756]$	$y^2+xy+y=x^3-252003x+48670756$	2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.48.0-12.g.1.12, $\ldots$	$[]$
2310.l3	2310l6	2310.l	2310l	$8$	$12$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{6} \cdot 11^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	2.6.0.1, 3.8.0.2	2Cs, 3B.1.2	$9240$	$384$	$5$	$1$	$1$		$2$	$13824$	$1.684708$	$14351050585434661561/3001282273281600$	$0.99618$	$5.69533$	$[1, 0, 1, -50628, -3508094]$	$y^2+xy+y=x^3-50628x-3508094$	2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 24.96.0-24.o.1.31, 44.12.0-2.a.1.1, $\ldots$	$[]$
2310.l4	2310l3	2310.l	2310l	$8$	$12$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 $	$ 2^{12} \cdot 3^{4} \cdot 5 \cdot 7^{3} \cdot 11^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2, 3$	4.6.0.1, 3.8.0.2	2B, 3B.1.2	$9240$	$384$	$5$	$1$	$1$		$1$	$6912$	$1.338133$	$12038605770121350841/757333463040$	$0.99047$	$5.67264$	$[1, 0, 1, -47748, -4019582]$	$y^2+xy+y=x^3-47748x-4019582$	2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$	$[]$

Next Download displayed columns for results to

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 98 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Learn more

Refine search Advanced search options

Results (1-50 of 98 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Refine search