Elliptic curve search results

Results (11 matches)

 

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	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
26520.k2	26520r2	26520.k	26520r	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3 \cdot 5^{4} \cdot 13^{10} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1$	$1$		$1$	$1013760$	$2.674271$	$-11845731628994222232016/1269935194601506875$	$0.98558$	$5.55108$	$[0, -1, 0, -3015500, -2193277500]$	\(y^2=x^3-x^2-3015500x-2193277500\)	2.3.0.a.1, 52.6.0.c.1, 102.6.0.?, 2652.12.0.?	$[]$
53040.cu2	53040z2	53040.cu	53040z	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3 \cdot 5^{4} \cdot 13^{10} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1$	$1$		$1$	$2027520$	$2.674271$	$-11845731628994222232016/1269935194601506875$	$0.98558$	$5.19739$	$[0, 1, 0, -3015500, 2193277500]$	\(y^2=x^3+x^2-3015500x+2193277500\)	2.3.0.a.1, 52.6.0.c.1, 102.6.0.?, 2652.12.0.?	$[]$
79560.f2	79560s2	79560.f	79560s	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{4} \cdot 13^{10} \cdot 17^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1.646405395$	$1$		$15$	$8110080$	$3.223576$	$-11845731628994222232016/1269935194601506875$	$0.98558$	$5.59479$	$[0, 0, 0, -27139503, 59245632002]$	\(y^2=x^3-27139503x+59245632002\)	2.3.0.a.1, 52.6.0.c.1, 102.6.0.?, 2652.12.0.?	$[(2714, 74698), (2051, 110500)]$
132600.ch2	132600bs2	132600.ch	132600bs	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3 \cdot 5^{10} \cdot 13^{10} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$34.65764334$	$1$		$1$	$24330240$	$3.478989$	$-11845731628994222232016/1269935194601506875$	$0.98558$	$5.61234$	$[0, 1, 0, -75387508, -274310462512]$	\(y^2=x^3+x^2-75387508x-274310462512\)	2.3.0.a.1, 52.6.0.c.1, 102.6.0.?, 2652.12.0.?	$[(12578533575558004/673679, 1330143246327930054342876/673679)]$
159120.bw2	159120ee2	159120.bw	159120ee	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{4} \cdot 13^{10} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1$	$1$		$1$	$16220160$	$3.223576$	$-11845731628994222232016/1269935194601506875$	$0.98558$	$5.27101$	$[0, 0, 0, -27139503, -59245632002]$	\(y^2=x^3-27139503x-59245632002\)	2.3.0.a.1, 52.6.0.c.1, 102.6.0.?, 2652.12.0.?	$[]$
212160.bo2	212160ea2	212160.bo	212160ea	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{14} \cdot 3 \cdot 5^{4} \cdot 13^{10} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1$	$4$	$2$	$1$	$16220160$	$3.020844$	$-11845731628994222232016/1269935194601506875$	$0.98558$	$4.94903$	$[0, -1, 0, -12062001, 17558282001]$	\(y^2=x^3-x^2-12062001x+17558282001\)	2.3.0.a.1, 52.6.0.c.1, 102.6.0.?, 2652.12.0.?	$[]$
212160.ef2	212160fj2	212160.ef	212160fj	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{14} \cdot 3 \cdot 5^{4} \cdot 13^{10} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1$	$4$	$2$	$1$	$16220160$	$3.020844$	$-11845731628994222232016/1269935194601506875$	$0.98558$	$4.94903$	$[0, 1, 0, -12062001, -17558282001]$	\(y^2=x^3+x^2-12062001x-17558282001\)	2.3.0.a.1, 52.6.0.c.1, 102.6.0.?, 2652.12.0.?	$[]$
265200.u2	265200u2	265200.u	265200u	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3 \cdot 5^{10} \cdot 13^{10} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1$	$1$		$1$	$48660480$	$3.478989$	$-11845731628994222232016/1269935194601506875$	$0.98558$	$5.30083$	$[0, -1, 0, -75387508, 274310462512]$	\(y^2=x^3-x^2-75387508x+274310462512\)	2.3.0.a.1, 52.6.0.c.1, 102.6.0.?, 2652.12.0.?	$[]$
344760.l2	344760l2	344760.l	344760l	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{8} \cdot 3 \cdot 5^{4} \cdot 13^{16} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$25.70886164$	$4$	$2$	$1$	$170311680$	$3.956745$	$-11845731628994222232016/1269935194601506875$	$0.98558$	$5.64139$	$[0, -1, 0, -509619556, -4820669145644]$	\(y^2=x^3-x^2-509619556x-4820669145644\)	2.3.0.a.1, 52.6.0.c.1, 102.6.0.?, 2652.12.0.?	$[(6616110343701/14759, 8932397260228541450/14759)]$
397800.cu2	397800cu2	397800.cu	397800cu	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{10} \cdot 13^{10} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$6.009442106$	$1$		$3$	$194641920$	$4.028297$	$-11845731628994222232016/1269935194601506875$	$0.98558$	$5.64537$	$[0, 0, 0, -678487575, 7405704000250]$	\(y^2=x^3-678487575x+7405704000250\)	2.3.0.a.1, 52.6.0.c.1, 102.6.0.?, 2652.12.0.?	$[(11765, 1025550)]$
450840.bx2	450840bx2	450840.bx	450840bx	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{8} \cdot 3 \cdot 5^{4} \cdot 13^{10} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1$	$1$		$1$	$291962880$	$4.090874$	$-11845731628994222232016/1269935194601506875$	$0.98558$	$5.64878$	$[0, 1, 0, -871479596, -10780801234896]$	\(y^2=x^3+x^2-871479596x-10780801234896\)	2.3.0.a.1, 52.6.0.c.1, 102.6.0.?, 2652.12.0.?	$[]$