LMFDB - Elliptic curve search results

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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

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Results (22 matches)

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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	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
2415.e1	2415b1	2415.e	2415b	$1$	$1$	$ 3 \cdot 5 \cdot 7 \cdot 23 $	$ - 3^{5} \cdot 5^{2} \cdot 7^{7} \cdot 23^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$966$	$2$	$0$	$0.086976853$	$1$		$8$	$14000$	$1.881489$	$-106177523183250079744/32201176731237675$	$1.01923$	$5.97385$	$[0, -1, 1, -98651, 14756141]$	$y^2+y=x^3-x^2-98651x+14756141$	966.2.0.?	$[(493, 9257)]$
7245.k1	7245r1	7245.k	7245r	$1$	$1$	$ 3^{2} \cdot 5 \cdot 7 \cdot 23 $	$ - 3^{11} \cdot 5^{2} \cdot 7^{7} \cdot 23^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$966$	$2$	$0$	$1$	$1$		$0$	$112000$	$2.430794$	$-106177523183250079744/32201176731237675$	$1.01923$	$5.97708$	$[0, 0, 1, -887862, -397527953]$	$y^2+y=x^3-887862x-397527953$	966.2.0.?	$[]$
12075.n1	12075q1	12075.n	12075q	$1$	$1$	$ 3 \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 3^{5} \cdot 5^{8} \cdot 7^{7} \cdot 23^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$966$	$2$	$0$	$1$	$1$		$0$	$336000$	$2.686207$	$-106177523183250079744/32201176731237675$	$1.01923$	$5.97833$	$[0, 1, 1, -2466283, 1839585094]$	$y^2+y=x^3+x^2-2466283x+1839585094$	966.2.0.?	$[]$
16905.r1	16905bb1	16905.r	16905bb	$1$	$1$	$ 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 3^{5} \cdot 5^{2} \cdot 7^{13} \cdot 23^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$966$	$2$	$0$	$0.496362567$	$1$		$4$	$672000$	$2.854443$	$-106177523183250079744/32201176731237675$	$1.01923$	$5.97908$	$[0, 1, 1, -4833915, -5051688631]$	$y^2+y=x^3+x^2-4833915x-5051688631$	966.2.0.?	$[(14583, 1739524)]$
36225.bf1	36225bg1	36225.bf	36225bg	$1$	$1$	$ 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 3^{11} \cdot 5^{8} \cdot 7^{7} \cdot 23^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$966$	$2$	$0$	$3.393763055$	$1$		$2$	$2688000$	$3.235516$	$-106177523183250079744/32201176731237675$	$1.01923$	$5.98060$	$[0, 0, 1, -22196550, -49690994094]$	$y^2+y=x^3-22196550x-49690994094$	966.2.0.?	$[(18830, 2491762)]$
38640.cc1	38640ck1	38640.cc	38640ck	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ - 2^{12} \cdot 3^{5} \cdot 5^{2} \cdot 7^{7} \cdot 23^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$966$	$2$	$0$	$9.489722808$	$1$		$0$	$1008000$	$2.574635$	$-106177523183250079744/32201176731237675$	$1.01923$	$5.19320$	$[0, 1, 0, -1578421, -942814621]$	$y^2=x^3+x^2-1578421x-942814621$	966.2.0.?	$[(73166/7, 1932435/7)]$
50715.bb1	50715l1	50715.bb	50715l	$1$	$1$	$ 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 3^{11} \cdot 5^{2} \cdot 7^{13} \cdot 23^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$966$	$2$	$0$	$1.728936775$	$1$		$4$	$5376000$	$3.403751$	$-106177523183250079744/32201176731237675$	$1.01923$	$5.98120$	$[0, 0, 1, -43505238, 136352087793]$	$y^2+y=x^3-43505238x+136352087793$	966.2.0.?	$[(6671, 378157)]$
55545.l1	55545c1	55545.l	55545c	$1$	$1$	$ 3 \cdot 5 \cdot 7 \cdot 23^{2} $	$ - 3^{5} \cdot 5^{2} \cdot 7^{7} \cdot 23^{11} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$966$	$2$	$0$	$18.16759876$	$1$		$0$	$7392000$	$3.449238$	$-106177523183250079744/32201176731237675$	$1.01923$	$5.98135$	$[0, -1, 1, -52186555, -179120478597]$	$y^2+y=x^3-x^2-52186555x-179120478597$	966.2.0.?	$[(183427837549/2019, 77461199854578728/2019)]$
84525.bg1	84525i1	84525.bg	84525i	$1$	$1$	$ 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 $	$ - 3^{5} \cdot 5^{8} \cdot 7^{13} \cdot 23^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$966$	$2$	$0$	$1$	$1$		$0$	$16128000$	$3.659164$	$-106177523183250079744/32201176731237675$	$1.01923$	$5.98204$	$[0, -1, 1, -120847883, -631219383082]$	$y^2+y=x^3-x^2-120847883x-631219383082$	966.2.0.?	$[]$
115920.cu1	115920el1	115920.cu	115920el	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 $	$ - 2^{12} \cdot 3^{11} \cdot 5^{2} \cdot 7^{7} \cdot 23^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$966$	$2$	$0$	$1.564249575$	$1$		$2$	$8064000$	$3.123943$	$-106177523183250079744/32201176731237675$	$1.01923$	$5.26921$	$[0, 0, 0, -14205792, 25441788976]$	$y^2=x^3-14205792x+25441788976$	966.2.0.?	$[(-2023, 214245)]$
154560.ci1	154560ct1	154560.ci	154560ct	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ - 2^{6} \cdot 3^{5} \cdot 5^{2} \cdot 7^{7} \cdot 23^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$966$	$2$	$0$	$32.09674354$	$1$		$0$	$2016000$	$2.228062$	$-106177523183250079744/32201176731237675$	$1.01923$	$4.24259$	$[0, -1, 0, -394605, -117654525]$	$y^2=x^3-x^2-394605x-117654525$	966.2.0.?	$[(177110145813350/214733, 2322502269139847781145/214733)]$
154560.ib1	154560ee1	154560.ib	154560ee	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 $	$ - 2^{6} \cdot 3^{5} \cdot 5^{2} \cdot 7^{7} \cdot 23^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$966$	$2$	$0$	$0.122714599$	$1$		$6$	$2016000$	$2.228062$	$-106177523183250079744/32201176731237675$	$1.01923$	$4.24259$	$[0, 1, 0, -394605, 117654525]$	$y^2=x^3+x^2-394605x+117654525$	966.2.0.?	$[(180, 7245)]$
166635.t1	166635bb1	166635.t	166635bb	$1$	$1$	$ 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} $	$ - 3^{11} \cdot 5^{2} \cdot 7^{7} \cdot 23^{11} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$966$	$2$	$0$	$8.134925002$	$1$		$2$	$59136000$	$3.998543$	$-106177523183250079744/32201176731237675$	$1.01923$	$5.98306$	$[0, 0, 1, -469678998, 4836722601109]$	$y^2+y=x^3-469678998x+4836722601109$	966.2.0.?	$[(520789, 375511972)]$
193200.cy1	193200eb1	193200.cy	193200eb	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 $	$ - 2^{12} \cdot 3^{5} \cdot 5^{8} \cdot 7^{7} \cdot 23^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$966$	$2$	$0$	$1$	$1$		$0$	$24192000$	$3.379356$	$-106177523183250079744/32201176731237675$	$1.01923$	$5.29988$	$[0, -1, 0, -39460533, -117772906563]$	$y^2=x^3-x^2-39460533x-117772906563$	966.2.0.?	$[]$
253575.dm1	253575dm1	253575.dm	253575dm	$1$	$1$	$ 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 $	$ - 3^{11} \cdot 5^{8} \cdot 7^{13} \cdot 23^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$966$	$2$	$0$	$1$	$1$		$0$	$129024000$	$4.208466$	$-106177523183250079744/32201176731237675$	$1.01923$	$5.98363$	$[0, 0, 1, -1087630950, 17044010974156]$	$y^2+y=x^3-1087630950x+17044010974156$	966.2.0.?	$[]$
270480.ei1	270480ei1	270480.ei	270480ei	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{12} \cdot 3^{5} \cdot 5^{2} \cdot 7^{13} \cdot 23^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$966$	$2$	$0$	$1$	$9$	$3$	$0$	$48384000$	$3.547592$	$-106177523183250079744/32201176731237675$	$1.01923$	$5.31872$	$[0, -1, 0, -77342645, 323230729725]$	$y^2=x^3-x^2-77342645x+323230729725$	966.2.0.?	$[]$
277725.bt1	277725bt1	277725.bt	277725bt	$1$	$1$	$ 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} $	$ - 3^{5} \cdot 5^{8} \cdot 7^{7} \cdot 23^{11} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$966$	$2$	$0$	$1$	$1$		$0$	$177408000$	$4.253952$	$-106177523183250079744/32201176731237675$	$1.01923$	$5.98375$	$[0, 1, 1, -1304663883, -22392669152356]$	$y^2+y=x^3+x^2-1304663883x-22392669152356$	966.2.0.?	$[]$
292215.o1	292215o1	292215.o	292215o	$1$	$1$	$ 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 23 $	$ - 3^{5} \cdot 5^{2} \cdot 7^{7} \cdot 11^{6} \cdot 23^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$966$	$2$	$0$	$7.000571716$	$1$		$0$	$18900000$	$3.080437$	$-106177523183250079744/32201176731237675$	$1.01923$	$4.84062$	$[0, -1, 1, -11936811, -19592676808]$	$y^2+y=x^3-x^2-11936811x-19592676808$	966.2.0.?	$[(97349/2, 30044551/2)]$
388815.ck1	388815ck1	388815.ck	388815ck	$1$	$1$	$ 3 \cdot 5 \cdot 7^{2} \cdot 23^{2} $	$ - 3^{5} \cdot 5^{2} \cdot 7^{13} \cdot 23^{11} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$966$	$2$	$0$	$1$	$1$		$0$	$354816000$	$4.422188$	$-106177523183250079744/32201176731237675$	$1.01923$	$5.98417$	$[0, 1, 1, -2557141211, 61443438441095]$	$y^2+y=x^3+x^2-2557141211x+61443438441095$	966.2.0.?	$[]$
408135.y1	408135y1	408135.y	408135y	$1$	$1$	$ 3 \cdot 5 \cdot 7 \cdot 13^{2} \cdot 23 $	$ - 3^{5} \cdot 5^{2} \cdot 7^{7} \cdot 13^{6} \cdot 23^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$966$	$2$	$0$	$2.772749143$	$1$		$2$	$32928000$	$3.163963$	$-106177523183250079744/32201176731237675$	$1.01923$	$4.79302$	$[0, -1, 1, -16672075, 32352554106]$	$y^2+y=x^3-x^2-16672075x+32352554106$	966.2.0.?	$[(4910, 262372)]$
463680.cv1	463680cv1	463680.cv	463680cv	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 $	$ - 2^{6} \cdot 3^{11} \cdot 5^{2} \cdot 7^{7} \cdot 23^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$966$	$2$	$0$	$1$	$1$		$0$	$16128000$	$2.777370$	$-106177523183250079744/32201176731237675$	$1.01923$	$4.39057$	$[0, 0, 0, -3551448, 3180223622]$	$y^2=x^3-3551448x+3180223622$	966.2.0.?	$[]$
463680.en1	463680en1	463680.en	463680en	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 $	$ - 2^{6} \cdot 3^{11} \cdot 5^{2} \cdot 7^{7} \cdot 23^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$966$	$2$	$0$	$1.771979377$	$1$		$2$	$16128000$	$2.777370$	$-106177523183250079744/32201176731237675$	$1.01923$	$4.39057$	$[0, 0, 0, -3551448, -3180223622]$	$y^2=x^3-3551448x-3180223622$	966.2.0.?	$[(3239, 138915)]$

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Elliptic curves over $\Q$
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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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