Elliptic curve search results

Results (12 matches)

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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
12090.o1	12090p4	12090.o	12090p	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 31 \)	\( 2^{9} \cdot 3^{2} \cdot 5^{3} \cdot 13^{2} \cdot 31^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$48360$	$96$	$1$	$1$	$1$		$0$	$228096$	$2.049809$	$5401609226997647595049/86393158323264000$	$0.97953$	$5.32343$	$[1, 0, 1, -365539, -83911138]$	\(y^2+xy+y=x^3-365539x-83911138\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.b.1, 120.48.0.?, $\ldots$	$[ ]$
36270.cb1	36270cc4	36270.cb	36270cc	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 31 \)	\( 2^{9} \cdot 3^{8} \cdot 5^{3} \cdot 13^{2} \cdot 31^{6} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$48360$	$96$	$1$	$1$	$1$		$4$	$1824768$	$2.599113$	$5401609226997647595049/86393158323264000$	$0.97953$	$5.39423$	$[1, -1, 1, -3289847, 2265600719]$	\(y^2+xy+y=x^3-x^2-3289847x+2265600719\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.b.1, 120.48.0.?, $\ldots$	$[ ]$
60450.br1	60450bx4	60450.br	60450bx	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 31 \)	\( 2^{9} \cdot 3^{2} \cdot 5^{9} \cdot 13^{2} \cdot 31^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$48360$	$96$	$1$	$0.351348432$	$1$		$10$	$5474304$	$2.854527$	$5401609226997647595049/86393158323264000$	$0.97953$	$5.42234$	$[1, 1, 1, -9138463, -10488892219]$	\(y^2+xy+y=x^3+x^2-9138463x-10488892219\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 24.24.0-6.a.1.13, $\ldots$	$[(-1795, 12522)]$
96720.j1	96720bp4	96720.j	96720bp	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 31 \)	\( 2^{21} \cdot 3^{2} \cdot 5^{3} \cdot 13^{2} \cdot 31^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$48360$	$96$	$1$	$6.440000300$	$1$		$3$	$5474304$	$2.742954$	$5401609226997647595049/86393158323264000$	$0.97953$	$5.08370$	$[0, -1, 0, -5848616, 5370312816]$	\(y^2=x^3-x^2-5848616x+5370312816\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 40.6.0.b.1, $\ldots$	$[(-2371, 76830)]$
157170.db1	157170d4	157170.db	157170d	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \)	\( 2^{9} \cdot 3^{2} \cdot 5^{3} \cdot 13^{8} \cdot 31^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$48360$	$96$	$1$	$1$	$1$		$0$	$38320128$	$3.332283$	$5401609226997647595049/86393158323264000$	$0.97953$	$5.46847$	$[1, 0, 0, -61776010, -184290993628]$	\(y^2+xy=x^3-61776010x-184290993628\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.2, 40.6.0.b.1, $\ldots$	$[ ]$
181350.t1	181350do4	181350.t	181350do	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 31 \)	\( 2^{9} \cdot 3^{8} \cdot 5^{9} \cdot 13^{2} \cdot 31^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$48360$	$96$	$1$	$2.356419223$	$1$		$4$	$43794432$	$3.403831$	$5401609226997647595049/86393158323264000$	$0.97953$	$5.47475$	$[1, -1, 0, -82246167, 283117843741]$	\(y^2+xy=x^3-x^2-82246167x+283117843741\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 24.24.0-6.a.1.5, $\ldots$	$[(3989, 134018)]$
290160.dq1	290160dq4	290160.dq	290160dq	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 31 \)	\( 2^{21} \cdot 3^{8} \cdot 5^{3} \cdot 13^{2} \cdot 31^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$48360$	$96$	$1$	$2.191303371$	$1$		$7$	$43794432$	$3.292259$	$5401609226997647595049/86393158323264000$	$0.97953$	$5.16373$	$[0, 0, 0, -52637547, -144945808486]$	\(y^2=x^3-52637547x-144945808486\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 40.6.0.b.1, $\ldots$	$[(-4235, 44928)]$
374790.n1	374790n4	374790.n	374790n	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 31^{2} \)	\( 2^{9} \cdot 3^{2} \cdot 5^{3} \cdot 13^{2} \cdot 31^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$48360$	$96$	$1$	$1$	$9$	$3$	$0$	$218972160$	$3.766800$	$5401609226997647595049/86393158323264000$	$0.97953$	$5.50446$	$[1, 1, 0, -351282518, 2498742857172]$	\(y^2+xy=x^3+x^2-351282518x+2498742857172\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.b.1, 93.8.0.?, $\ldots$	$[ ]$
386880.du1	386880du4	386880.du	386880du	$4$	$6$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 31 \)	\( 2^{27} \cdot 3^{2} \cdot 5^{3} \cdot 13^{2} \cdot 31^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$48360$	$96$	$1$	$1.886428971$	$1$		$3$	$43794432$	$3.089527$	$5401609226997647595049/86393158323264000$	$0.97953$	$4.85918$	$[0, -1, 0, -23394465, -42939108063]$	\(y^2=x^3-x^2-23394465x-42939108063\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 30.24.0-6.a.1.4, $\ldots$	$[(19449, 2618880)]$
386880.hg1	386880hg4	386880.hg	386880hg	$4$	$6$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 31 \)	\( 2^{27} \cdot 3^{2} \cdot 5^{3} \cdot 13^{2} \cdot 31^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$48360$	$96$	$1$	$1$	$1$		$1$	$43794432$	$3.089527$	$5401609226997647595049/86393158323264000$	$0.97953$	$4.85918$	$[0, 1, 0, -23394465, 42939108063]$	\(y^2=x^3+x^2-23394465x+42939108063\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 40.6.0.b.1, $\ldots$	$[ ]$
471510.f1	471510f4	471510.f	471510f	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \)	\( 2^{9} \cdot 3^{8} \cdot 5^{3} \cdot 13^{8} \cdot 31^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$48360$	$96$	$1$	$1$	$1$		$0$	$306561024$	$3.881588$	$5401609226997647595049/86393158323264000$	$0.97953$	$5.51317$	$[1, -1, 0, -555984090, 4975856827956]$	\(y^2+xy=x^3-x^2-555984090x+4975856827956\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.1, 40.6.0.b.1, $\ldots$	$[ ]$
483600.hb1	483600hb4	483600.hb	483600hb	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 31 \)	\( 2^{21} \cdot 3^{2} \cdot 5^{9} \cdot 13^{2} \cdot 31^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$48360$	$96$	$1$	$6.161535124$	$1$		$3$	$131383296$	$3.547672$	$5401609226997647595049/86393158323264000$	$0.97953$	$5.19637$	$[0, 1, 0, -146215408, 670996671188]$	\(y^2=x^3+x^2-146215408x+670996671188\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.4, 40.6.0.b.1, $\ldots$	$[(5732, 145782)]$

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