Elliptic curve search results

Results (5 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
51870.g2	51870g1	51870.g	51870g	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \)	\( 2^{2} \cdot 3^{10} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$207480$	$12$	$0$	$1$	$1$		$1$	$176640$	$1.220427$	$291498868418706649/3685655528100$	$0.90660$	$3.70412$	$[1, 1, 0, -13813, -623783]$	\(y^2+xy=x^3+x^2-13813x-623783\)	2.3.0.a.1, 120.6.0.?, 3458.6.0.?, 207480.12.0.?	$[]$
155610.ff2	155610m1	155610.ff	155610m	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \)	\( 2^{2} \cdot 3^{16} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$207480$	$12$	$0$	$7.537390319$	$1$		$1$	$1413120$	$1.769732$	$291498868418706649/3685655528100$	$0.90660$	$3.91510$	$[1, -1, 1, -124322, 16717821]$	\(y^2+xy+y=x^3-x^2-124322x+16717821\)	2.3.0.a.1, 120.6.0.?, 3458.6.0.?, 207480.12.0.?	$[(-571/4, 295149/4)]$
259350.fp2	259350fp1	259350.fp	259350fp	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \)	\( 2^{2} \cdot 3^{10} \cdot 5^{8} \cdot 7 \cdot 13 \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$207480$	$12$	$0$	$1$	$1$		$1$	$4239360$	$2.025146$	$291498868418706649/3685655528100$	$0.90660$	$4.00054$	$[1, 0, 0, -345338, -77282208]$	\(y^2+xy=x^3-345338x-77282208\)	2.3.0.a.1, 120.6.0.?, 3458.6.0.?, 207480.12.0.?	$[]$
363090.dp2	363090dp1	363090.dp	363090dp	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \)	\( 2^{2} \cdot 3^{10} \cdot 5^{2} \cdot 7^{7} \cdot 13 \cdot 19^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$207480$	$12$	$0$	$0.425896473$	$1$		$31$	$8478720$	$2.193382$	$291498868418706649/3685655528100$	$0.90660$	$4.05309$	$[1, 0, 1, -676863, 211927006]$	\(y^2+xy+y=x^3-676863x+211927006\)	2.3.0.a.1, 120.6.0.?, 3458.6.0.?, 207480.12.0.?	$[(557, 2514), (272, 6789)]$
414960.es2	414960es1	414960.es	414960es	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \)	\( 2^{14} \cdot 3^{10} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$207480$	$12$	$0$	$0.781005709$	$1$		$25$	$4239360$	$1.913574$	$291498868418706649/3685655528100$	$0.90660$	$3.75169$	$[0, 1, 0, -221016, 39480084]$	\(y^2=x^3+x^2-221016x+39480084\)	2.3.0.a.1, 120.6.0.?, 3458.6.0.?, 207480.12.0.?	$[(204, 1710), (147, 3192)]$