LMFDB - Elliptic curve search results

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 163 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	$Ш_{\textrm{an}}$	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
15.a5	15a1	15.a	15a	$8$	$16$	$ 3 \cdot 5 $	$ 3^{4} \cdot 5^{4} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.96.0.3	2Cs	$240$	$768$	$13$	$1$	$1$	$6$	$1$	$-0.402277$	$111284641/50625$	$1.02534$	$6.84168$	$[1, 1, 1, -10, -10]$	$y^2+xy+y=x^3+x^2-10x-10$	2.6.0.a.1, 4.48.0-4.b.1.1, 8.96.0-8.b.2.9, 24.192.1-24.n.1.1, 40.192.1-40.s.1.5, $\ldots$	$[]$
45.a5	45a4	45.a	45a	$8$	$16$	$ 3^{2} \cdot 5 $	$ 3^{10} \cdot 5^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.87	2Cs	$240$	$768$	$13$	$1$	$1$	$2$	$8$	$0.147029$	$111284641/50625$	$1.02534$	$6.59877$	$[1, -1, 0, -90, 175]$	$y^2+xy=x^3-x^2-90x+175$	2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.2.6, 12.48.0-4.b.1.1, 24.192.1-24.n.1.8, $\ldots$	$[]$
75.b5	75b3	75.b	75b	$8$	$16$	$ 3 \cdot 5^{2} $	$ 3^{4} \cdot 5^{10} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.77	2Cs	$240$	$768$	$13$	$1$	$1$	$2$	$24$	$0.402442$	$111284641/50625$	$1.02534$	$6.52792$	$[1, 0, 1, -251, -727]$	$y^2+xy+y=x^3-251x-727$	2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.2.3, 20.48.0-4.b.1.1, 24.192.1-24.n.1.9, $\ldots$	$[]$
225.b5	225c4	225.b	225c	$8$	$16$	$ 3^{2} \cdot 5^{2} $	$ 3^{10} \cdot 5^{10} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.61	2Cs	$240$	$768$	$13$	$1$	$1$	$2$	$192$	$0.951748$	$111284641/50625$	$1.02534$	$6.42084$	$[1, -1, 1, -2255, 19622]$	$y^2+xy+y=x^3-x^2-2255x+19622$	2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.2.7, 24.192.1-24.n.1.16, 40.192.1-40.s.1.9, $\ldots$	$[]$
240.d5	240d4	240.d	240d	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5 $	$ 2^{12} \cdot 3^{4} \cdot 5^{4} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.1	2Cs	$240$	$768$	$13$	$1$	$1$	$7$	$64$	$0.290870$	$111284641/50625$	$1.02534$	$4.89822$	$[0, 1, 0, -160, 308]$	$y^2=x^3+x^2-160x+308$	2.6.0.a.1, 4.48.0-4.b.1.1, 8.96.0-8.b.2.2, 24.192.1-24.n.1.6, 40.192.1-40.s.1.2, $\ldots$	$[]$
720.c5	720h3	720.c	720h	$8$	$16$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{12} \cdot 3^{10} \cdot 5^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.87	2Cs	$240$	$768$	$13$	$1.300312843$	$1$	$13$	$512$	$0.840176$	$111284641/50625$	$1.02534$	$5.08220$	$[0, 0, 0, -1443, -9758]$	$y^2=x^3-1443x-9758$	2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.2.6, 12.48.0-4.b.1.1, 24.192.1-24.n.1.3, $\ldots$	$[(-9, 50)]$
735.c5	735e4	735.c	735e	$8$	$16$	$ 3 \cdot 5 \cdot 7^{2} $	$ 3^{4} \cdot 5^{4} \cdot 7^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$1680$	$768$	$13$	$0.689178076$	$1$	$12$	$384$	$0.570678$	$111284641/50625$	$1.02534$	$4.57631$	$[1, 0, 0, -491, 1896]$	$y^2+xy=x^3-491x+1896$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 28.48.0-4.b.1.1, $\ldots$	$[(1, 37)]$
960.a5	960i4	960.a	960i	$8$	$16$	$ 2^{6} \cdot 3 \cdot 5 $	$ 2^{18} \cdot 3^{4} \cdot 5^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.85	2Cs	$240$	$768$	$13$	$1$	$1$	$3$	$512$	$0.637444$	$111284641/50625$	$1.02534$	$4.51501$	$[0, -1, 0, -641, 3105]$	$y^2=x^3-x^2-641x+3105$	2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.2.10, 24.192.1-24.n.1.4, 40.192.1-40.s.1.8, $\ldots$	$[]$
960.l5	960g3	960.l	960g	$8$	$16$	$ 2^{6} \cdot 3 \cdot 5 $	$ 2^{18} \cdot 3^{4} \cdot 5^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.86	2Cs	$240$	$768$	$13$	$1$	$1$	$3$	$512$	$0.637444$	$111284641/50625$	$1.02534$	$4.51501$	$[0, 1, 0, -641, -3105]$	$y^2=x^3+x^2-641x-3105$	2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.2.1, 24.192.1-24.n.1.7, 40.192.1-40.s.1.3, $\ldots$	$[]$
1200.e5	1200j4	1200.e	1200j	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ 2^{12} \cdot 3^{4} \cdot 5^{10} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.83	2Cs	$240$	$768$	$13$	$1$	$1$	$3$	$1536$	$1.095589$	$111284641/50625$	$1.02534$	$5.14832$	$[0, -1, 0, -4008, 46512]$	$y^2=x^3-x^2-4008x+46512$	2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.2.12, 20.48.0-4.b.1.1, 24.192.1-24.n.1.14, $\ldots$	$[]$
1815.d5	1815a4	1815.d	1815a	$8$	$16$	$ 3 \cdot 5 \cdot 11^{2} $	$ 3^{4} \cdot 5^{4} \cdot 11^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$2640$	$768$	$13$	$1.666073956$	$1$	$6$	$1280$	$0.796670$	$111284641/50625$	$1.02534$	$4.38642$	$[1, 1, 0, -1212, 7011]$	$y^2+xy=x^3+x^2-1212x+7011$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[(42, 159)]$
2205.i5	2205j3	2205.i	2205j	$8$	$16$	$ 3^{2} \cdot 5 \cdot 7^{2} $	$ 3^{10} \cdot 5^{4} \cdot 7^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$1680$	$768$	$13$	$1$	$1$	$2$	$3072$	$1.119984$	$111284641/50625$	$1.02534$	$4.77948$	$[1, -1, 0, -4419, -51192]$	$y^2+xy=x^3-x^2-4419x-51192$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[]$
2535.j5	2535a3	2535.j	2535a	$8$	$16$	$ 3 \cdot 5 \cdot 13^{2} $	$ 3^{4} \cdot 5^{4} \cdot 13^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$3120$	$768$	$13$	$4.113280102$	$1$	$2$	$2304$	$0.880198$	$111284641/50625$	$1.02534$	$4.32732$	$[1, 1, 0, -1693, -13112]$	$y^2+xy=x^3+x^2-1693x-13112$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[(-113/2, 1031/2)]$
2880.y5	2880r4	2880.y	2880r	$8$	$16$	$ 2^{6} \cdot 3^{2} \cdot 5 $	$ 2^{18} \cdot 3^{10} \cdot 5^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.69	2Cs	$240$	$768$	$13$	$1.324549088$	$1$	$11$	$4096$	$1.186749$	$111284641/50625$	$1.02534$	$4.71982$	$[0, 0, 0, -5772, 78064]$	$y^2=x^3-5772x+78064$	2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.2.5, 24.192.1-24.n.1.2, 40.192.1-40.s.1.10, $\ldots$	$[(8, 180)]$
2880.bc5	2880bd3	2880.bc	2880bd	$8$	$16$	$ 2^{6} \cdot 3^{2} \cdot 5 $	$ 2^{18} \cdot 3^{10} \cdot 5^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.69	2Cs	$240$	$768$	$13$	$1$	$1$	$3$	$4096$	$1.186749$	$111284641/50625$	$1.02534$	$4.71982$	$[0, 0, 0, -5772, -78064]$	$y^2=x^3-5772x-78064$	2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.2.5, 24.192.1-24.n.1.5, 40.192.1-40.s.1.10, $\ldots$	$[]$
3600.u5	3600bf3	3600.u	3600bf	$8$	$16$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} $	$ 2^{12} \cdot 3^{10} \cdot 5^{10} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.61	2Cs	$240$	$768$	$13$	$2.400975354$	$1$	$9$	$12288$	$1.644896$	$111284641/50625$	$1.02534$	$5.26258$	$[0, 0, 0, -36075, -1219750]$	$y^2=x^3-36075x-1219750$	2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.2.7, 24.192.1-24.n.1.11, 40.192.1-40.s.1.9, $\ldots$	$[(-89, 1134)]$
3675.j5	3675e4	3675.j	3675e	$8$	$16$	$ 3 \cdot 5^{2} \cdot 7^{2} $	$ 3^{4} \cdot 5^{10} \cdot 7^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$1680$	$768$	$13$	$1$	$1$	$2$	$9216$	$1.375397$	$111284641/50625$	$1.02534$	$4.85543$	$[1, 1, 0, -12275, 237000]$	$y^2+xy=x^3+x^2-12275x+237000$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[]$
4335.c5	4335d3	4335.c	4335d	$8$	$16$	$ 3 \cdot 5 \cdot 17^{2} $	$ 3^{4} \cdot 5^{4} \cdot 17^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$4080$	$768$	$13$	$1$	$1$	$2$	$5120$	$1.014330$	$111284641/50625$	$1.02534$	$4.24228$	$[1, 0, 0, -2896, -27985]$	$y^2+xy=x^3-2896x-27985$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[]$
4800.t5	4800b3	4800.t	4800b	$8$	$16$	$ 2^{6} \cdot 3 \cdot 5^{2} $	$ 2^{18} \cdot 3^{4} \cdot 5^{10} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.84	2Cs	$240$	$768$	$13$	$3.714905803$	$1$	$7$	$12288$	$1.442162$	$111284641/50625$	$1.02534$	$4.79697$	$[0, -1, 0, -16033, -356063]$	$y^2=x^3-x^2-16033x-356063$	2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.2.11, 24.192.1-24.n.1.15, 40.192.1-40.s.1.6, $\ldots$	$[(-32, 351)]$
4800.bz5	4800cd4	4800.bz	4800cd	$8$	$16$	$ 2^{6} \cdot 3 \cdot 5^{2} $	$ 2^{18} \cdot 3^{4} \cdot 5^{10} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.78	2Cs	$240$	$768$	$13$	$2.148891872$	$1$	$9$	$12288$	$1.442162$	$111284641/50625$	$1.02534$	$4.79697$	$[0, 1, 0, -16033, 356063]$	$y^2=x^3+x^2-16033x+356063$	2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.2.4, 24.192.1-24.n.1.12, 40.192.1-40.s.1.1, $\ldots$	$[(119, 384)]$
5415.j5	5415k4	5415.j	5415k	$8$	$16$	$ 3 \cdot 5 \cdot 19^{2} $	$ 3^{4} \cdot 5^{4} \cdot 19^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$4560$	$768$	$13$	$1$	$1$	$2$	$6912$	$1.069942$	$111284641/50625$	$1.02534$	$4.21014$	$[1, 0, 1, -3618, 38431]$	$y^2+xy+y=x^3-3618x+38431$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[]$
5445.c5	5445g3	5445.c	5445g	$8$	$16$	$ 3^{2} \cdot 5 \cdot 11^{2} $	$ 3^{10} \cdot 5^{4} \cdot 11^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$2640$	$768$	$13$	$2.338219894$	$1$	$6$	$10240$	$1.345976$	$111284641/50625$	$1.02534$	$4.59249$	$[1, -1, 1, -10913, -200208]$	$y^2+xy+y=x^3-x^2-10913x-200208$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[(-63, 515)]$
7605.g5	7605q4	7605.g	7605q	$8$	$16$	$ 3^{2} \cdot 5 \cdot 13^{2} $	$ 3^{10} \cdot 5^{4} \cdot 13^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$3120$	$768$	$13$	$1.267609325$	$1$	$12$	$18432$	$1.429502$	$111284641/50625$	$1.02534$	$4.53295$	$[1, -1, 1, -15242, 338784]$	$y^2+xy+y=x^3-x^2-15242x+338784$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[(-16, 768)]$
7935.d5	7935b4	7935.d	7935b	$8$	$16$	$ 3 \cdot 5 \cdot 23^{2} $	$ 3^{4} \cdot 5^{4} \cdot 23^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$5520$	$768$	$13$	$1$	$1$	$2$	$12672$	$1.165470$	$111284641/50625$	$1.02534$	$4.15864$	$[1, 1, 1, -5301, 66498]$	$y^2+xy+y=x^3+x^2-5301x+66498$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[]$
9075.g5	9075l4	9075.g	9075l	$8$	$16$	$ 3 \cdot 5^{2} \cdot 11^{2} $	$ 3^{4} \cdot 5^{10} \cdot 11^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$2640$	$768$	$13$	$1.887563793$	$1$	$8$	$30720$	$1.601389$	$111284641/50625$	$1.02534$	$4.67138$	$[1, 0, 0, -30313, 936992]$	$y^2+xy=x^3-30313x+936992$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[(-67, 1667)]$
11025.p5	11025z3	11025.p	11025z	$8$	$16$	$ 3^{2} \cdot 5^{2} \cdot 7^{2} $	$ 3^{10} \cdot 5^{10} \cdot 7^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$1680$	$768$	$13$	$2.617916422$	$1$	$6$	$73728$	$1.924702$	$111284641/50625$	$1.02534$	$4.99052$	$[1, -1, 1, -110480, -6509478]$	$y^2+xy+y=x^3-x^2-110480x-6509478$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[(-141, 2570)]$
11760.p5	11760bq3	11760.p	11760bq	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} $	$ 2^{12} \cdot 3^{4} \cdot 5^{4} \cdot 7^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$1680$	$768$	$13$	$1.848238002$	$1$	$9$	$24576$	$1.263824$	$111284641/50625$	$1.02534$	$4.11000$	$[0, -1, 0, -7856, -121344]$	$y^2=x^3-x^2-7856x-121344$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 28.48.0-4.b.1.1, $\ldots$	$[(-30, 294)]$
12615.f5	12615f3	12615.f	12615f	$8$	$16$	$ 3 \cdot 5 \cdot 29^{2} $	$ 3^{4} \cdot 5^{4} \cdot 29^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$6960$	$768$	$13$	$3.478323460$	$1$	$6$	$25088$	$1.281370$	$111284641/50625$	$1.02534$	$4.10175$	$[1, 0, 1, -8428, -138427]$	$y^2+xy+y=x^3-8428x-138427$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[(-81, 160)]$
12675.n5	12675x3	12675.n	12675x	$8$	$16$	$ 3 \cdot 5^{2} \cdot 13^{2} $	$ 3^{4} \cdot 5^{10} \cdot 13^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$3120$	$768$	$13$	$1$	$1$	$2$	$55296$	$1.684916$	$111284641/50625$	$1.02534$	$4.61227$	$[1, 0, 0, -42338, -1554333]$	$y^2+xy=x^3-42338x-1554333$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[]$
13005.p5	13005n4	13005.p	13005n	$8$	$16$	$ 3^{2} \cdot 5 \cdot 17^{2} $	$ 3^{10} \cdot 5^{4} \cdot 17^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$4080$	$768$	$13$	$3.085066028$	$1$	$4$	$40960$	$1.563635$	$111284641/50625$	$1.02534$	$4.44613$	$[1, -1, 0, -26064, 755595]$	$y^2+xy=x^3-x^2-26064x+755595$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[(1186, 39867)]$
14400.cj5	14400y4	14400.cj	14400y	$8$	$16$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} $	$ 2^{18} \cdot 3^{10} \cdot 5^{10} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.62	2Cs	$240$	$768$	$13$	$1$	$1$	$3$	$98304$	$1.991468$	$111284641/50625$	$1.02534$	$4.93500$	$[0, 0, 0, -144300, 9758000]$	$y^2=x^3-144300x+9758000$	2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.2.8, 24.192.1-24.n.1.10, 40.192.1-40.s.1.12, $\ldots$	$[]$
14400.cz5	14400dp3	14400.cz	14400dp	$8$	$16$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} $	$ 2^{18} \cdot 3^{10} \cdot 5^{10} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.96.0.62	2Cs	$240$	$768$	$13$	$5.036899059$	$1$	$5$	$98304$	$1.991468$	$111284641/50625$	$1.02534$	$4.93500$	$[0, 0, 0, -144300, -9758000]$	$y^2=x^3-144300x-9758000$	2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.2.8, 24.192.1-24.n.1.13, 40.192.1-40.s.1.12, $\ldots$	$[(2576, 129276)]$
14415.d5	14415g4	14415.d	14415g	$8$	$16$	$ 3 \cdot 5 \cdot 31^{2} $	$ 3^{4} \cdot 5^{4} \cdot 31^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$7440$	$768$	$13$	$1$	$1$	$2$	$30720$	$1.314716$	$111284641/50625$	$1.02534$	$4.08641$	$[1, 0, 0, -9630, 167427]$	$y^2+xy=x^3-9630x+167427$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[]$
16245.c5	16245d3	16245.c	16245d	$8$	$16$	$ 3^{2} \cdot 5 \cdot 19^{2} $	$ 3^{10} \cdot 5^{4} \cdot 19^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$4560$	$768$	$13$	$4.111075049$	$1$	$4$	$55296$	$1.619247$	$111284641/50625$	$1.02534$	$4.41295$	$[1, -1, 1, -32558, -1037644]$	$y^2+xy+y=x^3-x^2-32558x-1037644$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[(799/2, 4251/2)]$
20535.f5	20535a3	20535.f	20535a	$8$	$16$	$ 3 \cdot 5 \cdot 37^{2} $	$ 3^{4} \cdot 5^{4} \cdot 37^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$8880$	$768$	$13$	$8.331785168$	$1$	$2$	$48384$	$1.403181$	$111284641/50625$	$1.02534$	$4.04769$	$[1, 1, 0, -13718, -291753]$	$y^2+xy=x^3+x^2-13718x-291753$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[(-6169/10, 600491/10)]$
21675.s5	21675c3	21675.s	21675c	$8$	$16$	$ 3 \cdot 5^{2} \cdot 17^{2} $	$ 3^{4} \cdot 5^{10} \cdot 17^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$4080$	$768$	$13$	$9.091433220$	$1$	$2$	$122880$	$1.819048$	$111284641/50625$	$1.02534$	$4.52563$	$[1, 1, 0, -72400, -3498125]$	$y^2+xy=x^3+x^2-72400x-3498125$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[(-8249/10, 1427371/10)]$
23805.s5	23805t3	23805.s	23805t	$8$	$16$	$ 3^{2} \cdot 5 \cdot 23^{2} $	$ 3^{10} \cdot 5^{4} \cdot 23^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$5520$	$768$	$13$	$1$	$1$	$2$	$101376$	$1.714775$	$111284641/50625$	$1.02534$	$4.35937$	$[1, -1, 0, -47709, -1843160]$	$y^2+xy=x^3-x^2-47709x-1843160$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[]$
25215.f5	25215h3	25215.f	25215h	$8$	$16$	$ 3 \cdot 5 \cdot 41^{2} $	$ 3^{4} \cdot 5^{4} \cdot 41^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$9840$	$768$	$13$	$2.706065934$	$1$	$6$	$66560$	$1.454508$	$111284641/50625$	$1.02534$	$4.02647$	$[1, 0, 0, -16845, -390600]$	$y^2+xy=x^3-16845x-390600$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[(-105, 525)]$
27075.f5	27075g3	27075.f	27075g	$8$	$16$	$ 3 \cdot 5^{2} \cdot 19^{2} $	$ 3^{4} \cdot 5^{10} \cdot 19^{6} $	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$4560$	$768$	$13$	$6.857504831$	$1$	$18$	$165888$	$1.874660$	$111284641/50625$	$1.02534$	$4.49238$	$[1, 1, 1, -90438, 4803906]$	$y^2+xy+y=x^3+x^2-90438x+4803906$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[(36, 1245), (359, 4152)]$
27225.bp5	27225bi3	27225.bp	27225bi	$8$	$16$	$ 3^{2} \cdot 5^{2} \cdot 11^{2} $	$ 3^{10} \cdot 5^{10} \cdot 11^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$2640$	$768$	$13$	$6.579742876$	$1$	$4$	$245760$	$2.150696$	$111284641/50625$	$1.02534$	$4.81432$	$[1, -1, 0, -272817, -25298784]$	$y^2+xy=x^3-x^2-272817x-25298784$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[(356304, 212503548)]$
27735.k5	27735g3	27735.k	27735g	$8$	$16$	$ 3 \cdot 5 \cdot 43^{2} $	$ 3^{4} \cdot 5^{4} \cdot 43^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$10320$	$768$	$13$	$6.481644899$	$1$	$2$	$80640$	$1.478323$	$111284641/50625$	$1.02534$	$4.01691$	$[1, 0, 1, -18529, 447431]$	$y^2+xy+y=x^3-18529x+447431$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[(-803/7, 299039/7)]$
29040.df5	29040dg3	29040.df	29040dg	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} $	$ 2^{12} \cdot 3^{4} \cdot 5^{4} \cdot 11^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$2640$	$768$	$13$	$1.124488305$	$1$	$13$	$81920$	$1.489817$	$111284641/50625$	$1.02534$	$4.01236$	$[0, 1, 0, -19400, -487500]$	$y^2=x^3+x^2-19400x-487500$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[(-92, 726)]$
33135.d5	33135a3	33135.d	33135a	$8$	$16$	$ 3 \cdot 5 \cdot 47^{2} $	$ 3^{4} \cdot 5^{4} \cdot 47^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$11280$	$768$	$13$	$1$	$1$	$2$	$103040$	$1.522797$	$111284641/50625$	$1.02534$	$3.99953$	$[1, 1, 1, -22136, 577064]$	$y^2+xy+y=x^3+x^2-22136x+577064$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[]$
35280.do5	35280fr3	35280.do	35280fr	$8$	$16$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} $	$ 2^{12} \cdot 3^{10} \cdot 5^{4} \cdot 7^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$1680$	$768$	$13$	$1.107680189$	$1$	$15$	$196608$	$1.813131$	$111284641/50625$	$1.02534$	$4.30830$	$[0, 0, 0, -70707, 3346994]$	$y^2=x^3-70707x+3346994$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[(-7, 1960)]$
37845.d5	37845d3	37845.d	37845d	$8$	$16$	$ 3^{2} \cdot 5 \cdot 29^{2} $	$ 3^{10} \cdot 5^{4} \cdot 29^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$6960$	$768$	$13$	$1$	$1$	$2$	$200704$	$1.830677$	$111284641/50625$	$1.02534$	$4.29959$	$[1, -1, 1, -75848, 3737522]$	$y^2+xy+y=x^3-x^2-75848x+3737522$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[]$
38025.cj5	38025bc3	38025.cj	38025bc	$8$	$16$	$ 3^{2} \cdot 5^{2} \cdot 13^{2} $	$ 3^{10} \cdot 5^{10} \cdot 13^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$3120$	$768$	$13$	$1$	$1$	$2$	$442368$	$2.234222$	$111284641/50625$	$1.02534$	$4.75684$	$[1, -1, 0, -381042, 41966991]$	$y^2+xy=x^3-x^2-381042x+41966991$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[]$
39675.bk5	39675bc3	39675.bk	39675bc	$8$	$16$	$ 3 \cdot 5^{2} \cdot 23^{2} $	$ 3^{4} \cdot 5^{10} \cdot 23^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$5520$	$768$	$13$	$7.575929899$	$1$	$2$	$304128$	$1.970188$	$111284641/50625$	$1.02534$	$4.43852$	$[1, 0, 1, -132526, 8577323]$	$y^2+xy+y=x^3-132526x+8577323$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[(87871/11, 22394236/11)]$
40560.bv5	40560ca3	40560.bv	40560ca	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} $	$ 2^{12} \cdot 3^{4} \cdot 5^{4} \cdot 13^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$3120$	$768$	$13$	$1.791739238$	$1$	$9$	$147456$	$1.573345$	$111284641/50625$	$1.02534$	$3.98048$	$[0, 1, 0, -27096, 784980]$	$y^2=x^3+x^2-27096x+784980$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[(-9, 1014)]$
42135.k5	42135f3	42135.k	42135f	$8$	$16$	$ 3 \cdot 5 \cdot 53^{2} $	$ 3^{4} \cdot 5^{4} \cdot 53^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$12720$	$768$	$13$	$1$	$1$	$2$	$146432$	$1.582869$	$111284641/50625$	$1.02534$	$3.97698$	$[1, 0, 1, -28149, -843053]$	$y^2+xy+y=x^3-28149x-843053$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[]$
43245.h5	43245b3	43245.h	43245b	$8$	$16$	$ 3^{2} \cdot 5 \cdot 31^{2} $	$ 3^{10} \cdot 5^{4} \cdot 31^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	8.48.0.44	2Cs	$7440$	$768$	$13$	$9.862513326$	$1$	$2$	$245760$	$1.864021$	$111284641/50625$	$1.02534$	$4.28335$	$[1, -1, 0, -86670, -4520529]$	$y^2+xy=x^3-x^2-86670x-4520529$	2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$	$[(522223/22, 356477589/22)]$

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 163 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 163 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