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

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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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images
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	$840$	$48$	$0$	$3.462324500$	$1$		$4$	$15360$	$1.727100$	$388980071198593573609/486165942108000$	$[1, 1, 0, -152078, 22739028]$	$y^2+xy=x^3+x^2-152078x+22739028$	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.?, $\ldots$
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	$840$	$48$	$0$	$1.731162250$	$1$		$12$	$7680$	$1.380527$	$194878967635813609/103306896000000$	$[1, 1, 0, -12078, 143028]$	$y^2+xy=x^3+x^2-12078x+143028$	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.?, $\ldots$
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	$840$	$48$	$0$	$3.462324500$	$1$		$5$	$3840$	$1.033953$	$37262716093162729/333053952000$	$[1, 1, 0, -6958, -224588]$	$y^2+xy=x^3+x^2-6958x-224588$	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, $\ldots$
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	$840$	$48$	$0$	$3.462324500$	$1$		$4$	$15360$	$1.727100$	$10765621376623941911/6809085937500000$	$[1, 1, 0, 46002, 1176852]$	$y^2+xy=x^3+x^2+46002x+1176852$	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, $\ldots$
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	$840$	$48$	$0$	$1$	$4$	$2$	$0$	$100352$	$2.518356$	$2958414657792917260183849/12401051653985258880$	$[1, 1, 0, -2990738, 1982276532]$	$y^2+xy=x^3+x^2-2990738x+1982276532$	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	$840$	$48$	$0$	$1$	$1$		$2$	$50176$	$2.171783$	$2436531580079063806249/1405478914998681600$	$[1, 1, 0, -280338, -3362508]$	$y^2+xy=x^3+x^2-280338x-3362508$	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	$840$	$48$	$0$	$1$	$4$	$2$	$1$	$25088$	$1.825209$	$863913648706111516969/2486234429521920$	$[1, 1, 0, -198418, -34016972]$	$y^2+xy=x^3+x^2-198418x-34016972$	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	$840$	$48$	$0$	$1$	$1$		$0$	$100352$	$2.518356$	$155099895405729262880471/90047655797243760000$	$[1, 1, 0, 1119342, -25477452]$	$y^2+xy=x^3+x^2+1119342x-25477452$	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	$264$	$48$	$0$	$0.274169441$	$1$		$10$	$6144$	$1.150806$	$200005594092187129/1027287538200$	$[1, 1, 0, -12183, 510237]$	$y^2+xy=x^3+x^2-12183x+510237$	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, $\ldots$
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	$264$	$48$	$0$	$0.548338883$	$1$		$18$	$3072$	$0.804233$	$183337554283129/104587560000$	$[1, 1, 0, -1183, -2363]$	$y^2+xy=x^3+x^2-1183x-2363$	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, $\ldots$
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	$264$	$48$	$0$	$1.096677767$	$1$		$7$	$1536$	$0.457659$	$71210194441849/165580800$	$[1, 1, 0, -863, -10107]$	$y^2+xy=x^3+x^2-863x-10107$	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, $\ldots$
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	$264$	$48$	$0$	$1.096677767$	$1$		$6$	$6144$	$1.150806$	$11456208593737991/6725709375000$	$[1, 1, 0, 4697, -12947]$	$y^2+xy=x^3+x^2+4697x-12947$	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, $\ldots$
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	$3080$	$48$	$0$	$0.338363607$	$1$		$18$	$2048$	$0.631628$	$1080077156587801/594247500$	$[1, 1, 0, -2137, 37129]$	$y^2+xy=x^3+x^2-2137x+37129$	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.?
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	$1540$	$48$	$0$	$0.676727214$	$1$		$14$	$1024$	$0.285054$	$432252699481/192099600$	$[1, 1, 0, -157, 301]$	$y^2+xy=x^3+x^2-157x+301$	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.?
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	$3080$	$48$	$0$	$1.353454428$	$1$		$7$	$512$	$-0.061519$	$51520374361/887040$	$[1, 1, 0, -77, -291]$	$y^2+xy=x^3+x^2-77x-291$	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.?, $\ldots$
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	$3080$	$48$	$0$	$1.353454428$	$1$		$4$	$2048$	$0.631628$	$17655210697319/13448344140$	$[1, 1, 0, 543, 2961]$	$y^2+xy=x^3+x^2+543x+2961$	2.3.0.a.1, 4.12.0-4.c.1.2, 70.6.0.a.1, 88.24.0.?, 140.24.0.?, $\ldots$
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	$9240$	$12$	$0$	$1$	$1$		$1$	$960$	$0.246133$	$529278808969/88704000$	$[1, 0, 1, -169, -724]$	$y^2+xy+y=x^3-169x-724$	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	$9240$	$12$	$0$	$1$	$1$		$0$	$1920$	$0.592707$	$3342032927351/8893500000$	$[1, 0, 1, 311, -3988]$	$y^2+xy+y=x^3+311x-3988$	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	$9240$	$48$	$0$	$0.132675385$	$1$		$16$	$5120$	$1.196627$	$1953542217204454969/170843779260$	$[1, 0, 1, -26044, 1615406]$	$y^2+xy+y=x^3-26044x+1615406$	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, $\ldots$
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	$9240$	$48$	$0$	$0.530701542$	$1$		$8$	$5120$	$1.196627$	$93137706732176569/5369647977540$	$[1, 0, 1, -9444, -335954]$	$y^2+xy+y=x^3-9444x-335954$	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.?, $\ldots$
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	$4620$	$48$	$0$	$0.265350771$	$1$		$22$	$2560$	$0.850053$	$586145095611769/140040608400$	$[1, 0, 1, -1744, 21326]$	$y^2+xy+y=x^3-1744x+21326$	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.?, $\ldots$
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	$9240$	$48$	$0$	$0.530701542$	$1$		$9$	$1280$	$0.503479$	$1865864036231/2993760000$	$[1, 0, 1, 256, 2126]$	$y^2+xy+y=x^3+256x+2126$	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.?, $\ldots$
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	$3080$	$48$	$0$	$0.750353154$	$1$		$6$	$2048$	$0.511941$	$71210194441849/631496250$	$[1, 0, 1, -864, -9764]$	$y^2+xy+y=x^3-864x-9764$	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.?, $\ldots$
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	$3080$	$48$	$0$	$0.375176577$	$1$		$16$	$1024$	$0.165368$	$90458382169/48024900$	$[1, 0, 1, -94, 92]$	$y^2+xy+y=x^3-94x+92$	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.?, $\ldots$
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	$3080$	$48$	$0$	$0.750353154$	$1$		$7$	$512$	$-0.181206$	$43949604889/55440$	$[1, 0, 1, -74, 236]$	$y^2+xy+y=x^3-74x+236$	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, $\ldots$
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	$3080$	$48$	$0$	$0.750353154$	$1$		$6$	$2048$	$0.511941$	$5009866738631/3163773690$	$[1, 0, 1, 356, 812]$	$y^2+xy+y=x^3+356x+812$	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, $\ldots$
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	$9240$	$384$	$5$	$9.982572605$	$1$		$0$	$165888$	$2.832241$	$1826870018430810435423307849/7641104625000000000$	$[1, 0, 1, -25467989, -49471735264]$	$y^2+xy+y=x^3-25467989x-49471735264$	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, $\ldots$
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	$9240$	$384$	$5$	$4.991286302$	$1$		$2$	$82944$	$2.485668$	$467116778179943012100169/28800309694464000000$	$[1, 0, 1, -1616469, -747850208]$	$y^2+xy+y=x^3-1616469x-747850208$	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, $\ldots$
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	$9240$	$384$	$5$	$3.327524201$	$1$		$8$	$55296$	$2.282936$	$9278380528613437145689/5328033205714065000$	$[1, 0, 1, -437774, -9825928]$	$y^2+xy+y=x^3-437774x-9825928$	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, $\ldots$
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	$9240$	$384$	$5$	$9.982572605$	$1$		$1$	$41472$	$2.139095$	$3160944030998056790089/720291785342976000$	$[1, 0, 1, -305749, 50640416]$	$y^2+xy+y=x^3-305749x+50640416$	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, $\ldots$
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	$9240$	$384$	$5$	$1.663762100$	$1$		$26$	$27648$	$1.936361$	$2610383204210122997209/12104550027662400$	$[1, 0, 1, -286854, 58872856]$	$y^2+xy+y=x^3-286854x+58872856$	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, $\ldots$
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	$9240$	$384$	$5$	$3.327524201$	$1$		$11$	$13824$	$1.589788$	$2601656892010848045529/56330588160$	$[1, 0, 1, -286534, 59011352]$	$y^2+xy+y=x^3-286534x+59011352$	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, $\ldots$
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	$9240$	$384$	$5$	$3.327524201$	$1$		$8$	$55296$	$2.282936$	$-310366976336070130009/5909282337130963560$	$[1, 0, 1, -141054, 118709176]$	$y^2+xy+y=x^3-141054x+118709176$	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, $\ldots$
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	$9240$	$384$	$5$	$9.982572605$	$1$		$0$	$165888$	$2.832241$	$223090928422700449019831/4340371122724101696000$	$[1, 0, 1, 1263531, -3122122208]$	$y^2+xy+y=x^3+1263531x-3122122208$	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, $\ldots$
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	$9240$	$96$	$1$	$1$	$1$		$1$	$5184$	$1.121216$	$89343998142858649/1112702976000$	$[1, 0, 1, -9314, -342988]$	$y^2+xy+y=x^3-9314x-342988$	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	$9240$	$96$	$1$	$1$	$1$		$0$	$10368$	$1.467789$	$-482056280171929/341652696000000$	$[1, 0, 1, -1634, -889804]$	$y^2+xy+y=x^3-1634x-889804$	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	$9240$	$96$	$1$	$1$	$1$		$5$	$1728$	$0.571910$	$80224711835689/2173469760$	$[1, 0, 1, -899, 10046]$	$y^2+xy+y=x^3-899x+10046$	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	$9240$	$96$	$1$	$1$	$1$		$4$	$3456$	$0.918484$	$661003929431/468755040600$	$[1, 0, 1, 181, 32942]$	$y^2+xy+y=x^3+181x+32942$	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	$3080$	$48$	$0$	$0.481315981$	$1$		$6$	$6144$	$1.047377$	$95946737295893401/168104301750$	$[1, 0, 1, -9538, -358762]$	$y^2+xy+y=x^3-9538x-358762$	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.?, $\ldots$
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	$3080$	$48$	$0$	$0.481315981$	$1$		$6$	$6144$	$1.047377$	$50834334659676121/338378906250$	$[1, 0, 1, -7718, 258806]$	$y^2+xy+y=x^3-7718x+258806$	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, $\ldots$
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	$3080$	$48$	$0$	$0.240657990$	$1$		$22$	$3072$	$0.700803$	$54014438633401/30015562500$	$[1, 0, 1, -788, -1762]$	$y^2+xy+y=x^3-788x-1762$	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.?, $\ldots$
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	$3080$	$48$	$0$	$0.481315981$	$1$		$9$	$1536$	$0.354229$	$788632918919/475398000$	$[1, 0, 1, 192, -194]$	$y^2+xy+y=x^3+192x-194$	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, $\ldots$
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	$3080$	$48$	$0$	$0.666885710$	$1$		$6$	$12288$	$1.441526$	$2084105208962185000201/31185000$	$[1, 0, 1, -266113, 52815788]$	$y^2+xy+y=x^3-266113x+52815788$	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, $\ldots$
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	$3080$	$48$	$0$	$0.666885710$	$1$		$6$	$12288$	$1.441526$	$648474704552553481/176469171805080$	$[1, 0, 1, -18033, 676876]$	$y^2+xy+y=x^3-18033x+676876$	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.?, $\ldots$
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	$3080$	$48$	$0$	$0.333442855$	$1$		$20$	$6144$	$1.094952$	$508859562767519881/62240270400$	$[1, 0, 1, -16633, 824156]$	$y^2+xy+y=x^3-16633x+824156$	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.?, $\ldots$
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	$3080$	$48$	$0$	$0.666885710$	$1$		$7$	$3072$	$0.748379$	$-95575628340361/43812679680$	$[1, 0, 1, -953, 15068]$	$y^2+xy+y=x^3-953x+15068$	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, $\ldots$
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	$9240$	$384$	$5$	$1$	$4$	$2$	$0$	$27648$	$2.031281$	$1864737106103260904761/129177711985836360$	$[1, 0, 1, -256428, 46871746]$	$y^2+xy+y=x^3-256428x+46871746$	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	$9240$	$384$	$5$	$1$	$4$	$2$	$4$	$9216$	$1.481976$	$1769857772964702379561/691787250$	$[1, 0, 1, -252003, 48670756]$	$y^2+xy+y=x^3-252003x+48670756$	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	$9240$	$384$	$5$	$1$	$1$		$2$	$13824$	$1.684708$	$14351050585434661561/3001282273281600$	$[1, 0, 1, -50628, -3508094]$	$y^2+xy+y=x^3-50628x-3508094$	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	$9240$	$384$	$5$	$1$	$1$		$1$	$6912$	$1.338133$	$12038605770121350841/757333463040$	$[1, 0, 1, -47748, -4019582]$	$y^2+xy+y=x^3-47748x-4019582$	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, $\ldots$

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Classical	Maass
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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
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Abelian varieties over $\F_{q}$

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

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