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.c1	26520j1	26520.c	26520j	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3 \cdot 5^{7} \cdot 13 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6630$	$2$	$0$	$1$	$1$		$0$	$25536$	$0.623630$	$5872987136/51796875$	$0.86016$	$3.01354$	$[0, -1, 0, 239, -5435]$	\(y^2=x^3-x^2+239x-5435\)	6630.2.0.?	$[]$
53040.cb1	53040p1	53040.cb	53040p	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3 \cdot 5^{7} \cdot 13 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6630$	$2$	$0$	$1$	$1$		$0$	$51072$	$0.623630$	$5872987136/51796875$	$0.86016$	$2.82153$	$[0, 1, 0, 239, 5435]$	\(y^2=x^3+x^2+239x+5435\)	6630.2.0.?	$[]$
79560.bc1	79560x1	79560.bc	79560x	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{7} \cdot 13 \cdot 17 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6630$	$2$	$0$	$0.178246839$	$1$		$28$	$204288$	$1.172935$	$5872987136/51796875$	$0.86016$	$3.30429$	$[0, 0, 0, 2148, 144596]$	\(y^2=x^3+2148x+144596\)	6630.2.0.?	$[(22, 450), (-38, 90)]$
132600.ci1	132600bv1	132600.ci	132600bv	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3 \cdot 5^{13} \cdot 13 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6630$	$2$	$0$	$1$	$1$		$0$	$612864$	$1.428349$	$5872987136/51796875$	$0.86016$	$3.42104$	$[0, 1, 0, 5967, -667437]$	\(y^2=x^3+x^2+5967x-667437\)	6630.2.0.?	$[]$
159120.ef1	159120dm1	159120.ef	159120dm	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{7} \cdot 13 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6630$	$2$	$0$	$1$	$1$		$0$	$408576$	$1.172935$	$5872987136/51796875$	$0.86016$	$3.11307$	$[0, 0, 0, 2148, -144596]$	\(y^2=x^3+2148x-144596\)	6630.2.0.?	$[]$
212160.dk1	212160cv1	212160.dk	212160cv	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{14} \cdot 3 \cdot 5^{7} \cdot 13 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6630$	$2$	$0$	$1$	$1$		$0$	$408576$	$0.970203$	$5872987136/51796875$	$0.86016$	$2.84170$	$[0, -1, 0, 955, 42525]$	\(y^2=x^3-x^2+955x+42525\)	6630.2.0.?	$[]$
212160.gj1	212160ej1	212160.gj	212160ej	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{14} \cdot 3 \cdot 5^{7} \cdot 13 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6630$	$2$	$0$	$1$	$1$		$0$	$408576$	$0.970203$	$5872987136/51796875$	$0.86016$	$2.84170$	$[0, 1, 0, 955, -42525]$	\(y^2=x^3+x^2+955x-42525\)	6630.2.0.?	$[]$
265200.p1	265200p1	265200.p	265200p	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3 \cdot 5^{13} \cdot 13 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6630$	$2$	$0$	$2.867833971$	$1$		$2$	$1225728$	$1.428349$	$5872987136/51796875$	$0.86016$	$3.23116$	$[0, -1, 0, 5967, 667437]$	\(y^2=x^3-x^2+5967x+667437\)	6630.2.0.?	$[(1412, 53125)]$
344760.bb1	344760bb1	344760.bb	344760bb	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{8} \cdot 3 \cdot 5^{7} \cdot 13^{7} \cdot 17 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6630$	$2$	$0$	$0.763012330$	$1$		$12$	$4290048$	$1.906105$	$5872987136/51796875$	$0.86016$	$3.61430$	$[0, -1, 0, 40335, -11779275]$	\(y^2=x^3-x^2+40335x-11779275\)	6630.2.0.?	$[(1205, 42250), (191, 1690)]$
397800.cq1	397800cq1	397800.cq	397800cq	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{13} \cdot 13 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6630$	$2$	$0$	$1$	$1$		$0$	$4902912$	$1.977655$	$5872987136/51796875$	$0.86016$	$3.64078$	$[0, 0, 0, 53700, 18074500]$	\(y^2=x^3+53700x+18074500\)	6630.2.0.?	$[]$
450840.cr1	450840cr1	450840.cr	450840cr	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{8} \cdot 3 \cdot 5^{7} \cdot 13 \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6630$	$2$	$0$	$1$	$1$		$0$	$7354368$	$2.040237$	$5872987136/51796875$	$0.86016$	$3.66346$	$[0, 1, 0, 68975, -26288125]$	\(y^2=x^3+x^2+68975x-26288125\)	6630.2.0.?	$[]$