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.k1	26520r1	26520.k	26520r	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13^{5} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1$	$1$		$1$	$506880$	$2.327694$	$203769809659907949070336/2016474841511325$	$1.01243$	$5.54151$	$[0, -1, 0, -3089195, -2088807468]$	\(y^2=x^3-x^2-3089195x-2088807468\)	2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?	$[]$
53040.cu1	53040z1	53040.cu	53040z	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13^{5} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1$	$1$		$1$	$1013760$	$2.327694$	$203769809659907949070336/2016474841511325$	$1.01243$	$5.18843$	$[0, 1, 0, -3089195, 2088807468]$	\(y^2=x^3+x^2-3089195x+2088807468\)	2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?	$[]$
79560.f1	79560s1	79560.f	79560s	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 13^{5} \cdot 17^{6} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$0.411601348$	$1$		$27$	$4055040$	$2.877003$	$203769809659907949070336/2016474841511325$	$1.01243$	$5.58614$	$[0, 0, 0, -27802758, 56425604393]$	\(y^2=x^3-27802758x+56425604393\)	2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?	$[(3649, 59670), (4312, 129285)]$
132600.ch1	132600bs1	132600.ch	132600bs	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 13^{5} \cdot 17^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$17.32882167$	$1$		$1$	$12165120$	$3.132416$	$203769809659907949070336/2016474841511325$	$1.01243$	$5.60407$	$[0, 1, 0, -77229883, -261255393262]$	\(y^2=x^3+x^2-77229883x-261255393262\)	2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?	$[(736673861/163, 18834468803523/163)]$
159120.bw1	159120ee1	159120.bw	159120ee	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 13^{5} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1$	$1$		$1$	$8110080$	$2.877003$	$203769809659907949070336/2016474841511325$	$1.01243$	$5.26287$	$[0, 0, 0, -27802758, -56425604393]$	\(y^2=x^3-27802758x-56425604393\)	2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?	$[]$
212160.bo1	212160ea1	212160.bo	212160ea	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 13^{5} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1$	$1$		$1$	$8110080$	$2.674271$	$203769809659907949070336/2016474841511325$	$1.01243$	$4.94107$	$[0, -1, 0, -12356781, 16722816525]$	\(y^2=x^3-x^2-12356781x+16722816525\)	2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?	$[]$
212160.ef1	212160fj1	212160.ef	212160fj	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 13^{5} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1$	$1$		$1$	$8110080$	$2.674271$	$203769809659907949070336/2016474841511325$	$1.01243$	$4.94107$	$[0, 1, 0, -12356781, -16722816525]$	\(y^2=x^3+x^2-12356781x-16722816525\)	2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?	$[]$
265200.u1	265200u1	265200.u	265200u	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 13^{5} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1$	$1$		$1$	$24330240$	$3.132416$	$203769809659907949070336/2016474841511325$	$1.01243$	$5.29302$	$[0, -1, 0, -77229883, 261255393262]$	\(y^2=x^3-x^2-77229883x+261255393262\)	2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?	$[]$
344760.l1	344760l1	344760.l	344760l	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13^{11} \cdot 17^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$12.85443082$	$1$		$1$	$85155840$	$3.610168$	$203769809659907949070336/2016474841511325$	$1.01243$	$5.63374$	$[0, -1, 0, -522074011, -4591198303160]$	\(y^2=x^3-x^2-522074011x-4591198303160\)	2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?	$[(8337093501/142, 760051762354729/142)]$
397800.cu1	397800cu1	397800.cu	397800cu	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 13^{5} \cdot 17^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$12.01888421$	$1$		$1$	$97320960$	$3.681721$	$203769809659907949070336/2016474841511325$	$1.01243$	$5.63780$	$[0, 0, 0, -695068950, 7053200549125]$	\(y^2=x^3-695068950x+7053200549125\)	2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?	$[(43070690/53, 3366522675/53)]$
450840.bx1	450840bx1	450840.bx	450840bx	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13^{5} \cdot 17^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1$	$1$		$1$	$145981440$	$3.744301$	$203769809659907949070336/2016474841511325$	$1.01243$	$5.64129$	$[0, 1, 0, -892777451, -10267667754810]$	\(y^2=x^3+x^2-892777451x-10267667754810\)	2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?	$[]$