Elliptic curve search results

Results (8 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
12502.c1	12502c3	12502.c	12502c	$4$	$4$	\( 2 \cdot 7 \cdot 19 \cdot 47 \)	\( 2 \cdot 7^{4} \cdot 19^{2} \cdot 47^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.58	2B	$2632$	$48$	$0$	$1$	$1$		$0$	$18944$	$1.182959$	$25172562615580017/8459034366482$	$0.92723$	$4.00318$	$[1, -1, 1, -6106, -117385]$	\(y^2+xy+y=x^3-x^2-6106x-117385\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.k.1.1, 2632.48.0.?	$[]$
87514.v1	87514u4	87514.v	87514u	$4$	$4$	\( 2 \cdot 7^{2} \cdot 19 \cdot 47 \)	\( 2 \cdot 7^{10} \cdot 19^{2} \cdot 47^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.15	2B	$2632$	$48$	$0$	$6.105068871$	$1$		$0$	$909312$	$2.155914$	$25172562615580017/8459034366482$	$0.92723$	$4.34463$	$[1, -1, 1, -299179, 40861321]$	\(y^2+xy+y=x^3-x^2-299179x+40861321\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 28.12.0-4.c.1.1, 56.24.0-8.k.1.1, $\ldots$	$[(234985/8, 111734079/8)]$
100016.h1	100016p4	100016.h	100016p	$4$	$4$	\( 2^{4} \cdot 7 \cdot 19 \cdot 47 \)	\( 2^{13} \cdot 7^{4} \cdot 19^{2} \cdot 47^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.49	2B	$2632$	$48$	$0$	$1.492748857$	$1$		$11$	$454656$	$1.876106$	$25172562615580017/8459034366482$	$0.92723$	$4.00260$	$[0, 0, 0, -97691, 7610314]$	\(y^2=x^3-97691x+7610314\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.k.1.2, 2632.48.0.?	$[(309, 2632)]$
112518.l1	112518g4	112518.l	112518g	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7 \cdot 19 \cdot 47 \)	\( 2 \cdot 3^{6} \cdot 7^{4} \cdot 19^{2} \cdot 47^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.15	2B	$7896$	$48$	$0$	$1.834187016$	$1$		$0$	$606208$	$1.732265$	$25172562615580017/8459034366482$	$0.92723$	$3.81366$	$[1, -1, 0, -54951, 3224339]$	\(y^2+xy=x^3-x^2-54951x+3224339\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 12.12.0-4.c.1.1, 24.24.0-8.k.1.1, $\ldots$	$[(-905/2, 16979/2)]$
237538.g1	237538g3	237538.g	237538g	$4$	$4$	\( 2 \cdot 7 \cdot 19^{2} \cdot 47 \)	\( 2 \cdot 7^{4} \cdot 19^{8} \cdot 47^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.15	2B	$50008$	$48$	$0$	$1$	$1$		$0$	$6819840$	$2.655178$	$25172562615580017/8459034366482$	$0.92723$	$4.47817$	$[1, -1, 0, -2204153, 816162659]$	\(y^2+xy=x^3-x^2-2204153x+816162659\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 76.12.0.?, 152.24.0.?, $\ldots$	$[]$
312550.p1	312550p4	312550.p	312550p	$4$	$4$	\( 2 \cdot 5^{2} \cdot 7 \cdot 19 \cdot 47 \)	\( 2 \cdot 5^{6} \cdot 7^{4} \cdot 19^{2} \cdot 47^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.15	2B	$13160$	$48$	$0$	$1.613225540$	$1$		$4$	$2424832$	$1.987677$	$25172562615580017/8459034366482$	$0.92723$	$3.74796$	$[1, -1, 0, -152642, -14825734]$	\(y^2+xy=x^3-x^2-152642x-14825734\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 20.12.0-4.c.1.1, 40.24.0-8.k.1.1, $\ldots$	$[(-245, 2919)]$
400064.bb1	400064bb4	400064.bb	400064bb	$4$	$4$	\( 2^{6} \cdot 7 \cdot 19 \cdot 47 \)	\( 2^{19} \cdot 7^{4} \cdot 19^{2} \cdot 47^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.58	2B	$2632$	$48$	$0$	$1$	$1$		$1$	$3637248$	$2.222679$	$25172562615580017/8459034366482$	$0.92723$	$3.89485$	$[0, 0, 0, -390764, -60882512]$	\(y^2=x^3-390764x-60882512\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.k.1.1, 2632.48.0.?	$[]$
400064.bc1	400064bc3	400064.bc	400064bc	$4$	$4$	\( 2^{6} \cdot 7 \cdot 19 \cdot 47 \)	\( 2^{19} \cdot 7^{4} \cdot 19^{2} \cdot 47^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.49	2B	$2632$	$48$	$0$	$1$	$1$		$3$	$3637248$	$2.222679$	$25172562615580017/8459034366482$	$0.92723$	$3.89485$	$[0, 0, 0, -390764, 60882512]$	\(y^2=x^3-390764x+60882512\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.k.1.2, 2632.48.0.?	$[]$