Elliptic curve search results

Results (31 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
805.c1	805a1	805.c	805a	$1$	$1$	\( 5 \cdot 7 \cdot 23 \)	\( - 5^{5} \cdot 7^{11} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$70$	$2$	$0$	$5.273435897$	$1$		$0$	$5720$	$1.660837$	$1346216501445963776/3268768272021875$	$1.00054$	$6.41259$	$[0, -1, 1, 23004, 2393001]$	\(y^2+y=x^3-x^2+23004x+2393001\)	70.2.0.a.1	$[(181/2, 15015/2)]$
4025.b1	4025e1	4025.b	4025e	$1$	$1$	\( 5^{2} \cdot 7 \cdot 23 \)	\( - 5^{11} \cdot 7^{11} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$0.168464283$	$1$		$8$	$137280$	$2.465557$	$1346216501445963776/3268768272021875$	$1.00054$	$6.33259$	$[0, 1, 1, 575092, 300275344]$	\(y^2+y=x^3+x^2+575092x+300275344\)	70.2.0.a.1	$[(-112, 15312)]$
5635.k1	5635g1	5635.k	5635g	$1$	$1$	\( 5 \cdot 7^{2} \cdot 23 \)	\( - 5^{5} \cdot 7^{17} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$4.853397885$	$1$		$0$	$274560$	$2.633793$	$1346216501445963776/3268768272021875$	$1.00054$	$6.31963$	$[0, 1, 1, 1127180, -823053801]$	\(y^2+y=x^3+x^2+1127180x-823053801\)	70.2.0.a.1	$[(12909/2, 1527081/2)]$
7245.d1	7245q1	7245.d	7245q	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 3^{6} \cdot 5^{5} \cdot 7^{11} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$171600$	$2.210144$	$1346216501445963776/3268768272021875$	$1.00054$	$5.56897$	$[0, 0, 1, 207033, -64818068]$	\(y^2+y=x^3+207033x-64818068\)	70.2.0.a.1	$[]$
12880.p1	12880t1	12880.p	12880t	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{12} \cdot 5^{5} \cdot 7^{11} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$228800$	$2.353985$	$1346216501445963776/3268768272021875$	$1.00054$	$5.41278$	$[0, 1, 0, 368059, -153520141]$	\(y^2=x^3+x^2+368059x-153520141\)	70.2.0.a.1	$[]$
18515.p1	18515t1	18515.p	18515t	$1$	$1$	\( 5 \cdot 7 \cdot 23^{2} \)	\( - 5^{5} \cdot 7^{11} \cdot 23^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$3020160$	$3.228584$	$1346216501445963776/3268768272021875$	$1.00054$	$6.28094$	$[0, -1, 1, 12168940, -29212998177]$	\(y^2+y=x^3-x^2+12168940x-29212998177\)	70.2.0.a.1	$[]$
28175.c1	28175n1	28175.c	28175n	$1$	$1$	\( 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 5^{11} \cdot 7^{17} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$2.445897861$	$1$		$0$	$6589440$	$3.438511$	$1346216501445963776/3268768272021875$	$1.00054$	$6.26943$	$[0, -1, 1, 28179492, -102938084082]$	\(y^2+y=x^3-x^2+28179492x-102938084082\)	70.2.0.a.1	$[(380908/3, 236768599/3)]$
36225.ci1	36225bt1	36225.ci	36225bt	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 3^{6} \cdot 5^{11} \cdot 7^{11} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$4.608724097$	$1$		$0$	$4118400$	$3.014862$	$1346216501445963776/3268768272021875$	$1.00054$	$5.63505$	$[0, 0, 1, 5175825, -8102258469]$	\(y^2+y=x^3+5175825x-8102258469\)	70.2.0.a.1	$[(27849/2, 4835953/2)]$
50715.i1	50715bh1	50715.i	50715bh	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 3^{6} \cdot 5^{5} \cdot 7^{17} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$8236800$	$3.183098$	$1346216501445963776/3268768272021875$	$1.00054$	$5.64638$	$[0, 0, 1, 10144617, 22232597238]$	\(y^2+y=x^3+10144617x+22232597238\)	70.2.0.a.1	$[]$
51520.t1	51520cm1	51520.t	51520cm	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{6} \cdot 5^{5} \cdot 7^{11} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$0.213346163$	$1$		$4$	$457600$	$2.007408$	$1346216501445963776/3268768272021875$	$1.00054$	$4.33786$	$[0, -1, 0, 92015, -19236025]$	\(y^2=x^3-x^2+92015x-19236025\)	70.2.0.a.1	$[(290, 5635)]$
51520.cb1	51520t1	51520.cb	51520t	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{6} \cdot 5^{5} \cdot 7^{11} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$457600$	$2.007408$	$1346216501445963776/3268768272021875$	$1.00054$	$4.33786$	$[0, 1, 0, 92015, 19236025]$	\(y^2=x^3+x^2+92015x+19236025\)	70.2.0.a.1	$[]$
64400.t1	64400be1	64400.t	64400be	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{12} \cdot 5^{11} \cdot 7^{11} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$4$	$2$	$0$	$5491200$	$3.158703$	$1346216501445963776/3268768272021875$	$1.00054$	$5.49813$	$[0, -1, 0, 9201467, -19208420563]$	\(y^2=x^3-x^2+9201467x-19208420563\)	70.2.0.a.1	$[]$
90160.bl1	90160db1	90160.bl	90160db	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{12} \cdot 5^{5} \cdot 7^{17} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$2.692895013$	$1$		$0$	$10982400$	$3.326939$	$1346216501445963776/3268768272021875$	$1.00054$	$5.51293$	$[0, -1, 0, 18034875, 52693478125]$	\(y^2=x^3-x^2+18034875x+52693478125\)	70.2.0.a.1	$[(-62295/8, 94707445/8)]$
92575.g1	92575l1	92575.g	92575l	$1$	$1$	\( 5^{2} \cdot 7 \cdot 23^{2} \)	\( - 5^{11} \cdot 7^{11} \cdot 23^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$9$	$3$	$0$	$72483840$	$4.033302$	$1346216501445963776/3268768272021875$	$1.00054$	$6.24140$	$[0, 1, 1, 304223492, -3651016325106]$	\(y^2+y=x^3+x^2+304223492x-3651016325106\)	70.2.0.a.1	$[]$
97405.b1	97405c1	97405.b	97405c	$1$	$1$	\( 5 \cdot 7 \cdot 11^{2} \cdot 23 \)	\( - 5^{5} \cdot 7^{11} \cdot 11^{6} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1.255537147$	$1$		$4$	$6806800$	$2.859783$	$1346216501445963776/3268768272021875$	$1.00054$	$4.98780$	$[0, -1, 1, 2783444, -3196218488]$	\(y^2+y=x^3-x^2+2783444x-3196218488\)	70.2.0.a.1	$[(1030, 27611)]$
115920.ea1	115920ex1	115920.ea	115920ex	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{12} \cdot 3^{6} \cdot 5^{5} \cdot 7^{11} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$0.771483014$	$1$		$2$	$6864000$	$2.903290$	$1346216501445963776/3268768272021875$	$1.00054$	$4.95813$	$[0, 0, 0, 3312528, 4148356336]$	\(y^2=x^3+3312528x+4148356336\)	70.2.0.a.1	$[(3897, 276115)]$
129605.bg1	129605q1	129605.bg	129605q	$1$	$1$	\( 5 \cdot 7^{2} \cdot 23^{2} \)	\( - 5^{5} \cdot 7^{17} \cdot 23^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$75.05915103$	$1$		$0$	$144967680$	$4.201538$	$1346216501445963776/3268768272021875$	$1.00054$	$6.23450$	$[0, 1, 1, 596278044, 10018865818525]$	\(y^2+y=x^3+x^2+596278044x+10018865818525\)	70.2.0.a.1	$[(6911399716567084593528954663794587801/16743858433604644, 29577839313648035671958853606337310847796544837191352613/16743858433604644)]$
136045.e1	136045c1	136045.e	136045c	$1$	$1$	\( 5 \cdot 7 \cdot 13^{2} \cdot 23 \)	\( - 5^{5} \cdot 7^{11} \cdot 13^{6} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$0.327380292$	$1$		$8$	$12835680$	$2.943310$	$1346216501445963776/3268768272021875$	$1.00054$	$4.93162$	$[0, -1, 1, 3887620, 5272974306]$	\(y^2+y=x^3-x^2+3887620x+5272974306\)	70.2.0.a.1	$[(935, 98612)]$
166635.c1	166635e1	166635.c	166635e	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \)	\( - 3^{6} \cdot 5^{5} \cdot 7^{11} \cdot 23^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$90604800$	$3.777889$	$1346216501445963776/3268768272021875$	$1.00054$	$5.68137$	$[0, 0, 1, 109520457, 788641430314]$	\(y^2+y=x^3+109520457x+788641430314\)	70.2.0.a.1	$[]$
232645.m1	232645m1	232645.m	232645m	$1$	$1$	\( 5 \cdot 7 \cdot 17^{2} \cdot 23 \)	\( - 5^{5} \cdot 7^{11} \cdot 17^{6} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$27364480$	$3.077442$	$1346216501445963776/3268768272021875$	$1.00054$	$4.84775$	$[0, 1, 1, 6648060, 11796703681]$	\(y^2+y=x^3+x^2+6648060x+11796703681\)	70.2.0.a.1	$[]$
253575.gl1	253575gl1	253575.gl	253575gl	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 3^{6} \cdot 5^{11} \cdot 7^{17} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$19.92680131$	$1$		$0$	$197683200$	$3.987816$	$1346216501445963776/3268768272021875$	$1.00054$	$5.69212$	$[0, 0, 1, 253615425, 2779074654781]$	\(y^2+y=x^3+253615425x+2779074654781\)	70.2.0.a.1	$[(9061277705/1844, 11686578144123333/1844)]$
257600.ci1	257600ci1	257600.ci	257600ci	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{6} \cdot 5^{11} \cdot 7^{11} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1.867218220$	$1$		$2$	$10982400$	$2.812130$	$1346216501445963776/3268768272021875$	$1.00054$	$4.55257$	$[0, -1, 0, 2300367, 2399902387]$	\(y^2=x^3-x^2+2300367x+2399902387\)	70.2.0.a.1	$[(9822, 986125)]$
257600.ea1	257600ea1	257600.ea	257600ea	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{6} \cdot 5^{11} \cdot 7^{11} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$10982400$	$2.812130$	$1346216501445963776/3268768272021875$	$1.00054$	$4.55257$	$[0, 1, 0, 2300367, -2399902387]$	\(y^2=x^3+x^2+2300367x-2399902387\)	70.2.0.a.1	$[]$
290605.c1	290605c1	290605.c	290605c	$1$	$1$	\( 5 \cdot 7 \cdot 19^{2} \cdot 23 \)	\( - 5^{5} \cdot 7^{11} \cdot 19^{6} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$41184000$	$3.133057$	$1346216501445963776/3268768272021875$	$1.00054$	$4.81507$	$[0, 1, 1, 8304324, -16463421770]$	\(y^2+y=x^3+x^2+8304324x-16463421770\)	70.2.0.a.1	$[]$
296240.cr1	296240cr1	296240.cr	296240cr	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23^{2} \)	\( - 2^{12} \cdot 5^{5} \cdot 7^{11} \cdot 23^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$9$	$3$	$0$	$120806400$	$3.921730$	$1346216501445963776/3268768272021875$	$1.00054$	$5.55892$	$[0, 1, 0, 194703035, 1869437180275]$	\(y^2=x^3+x^2+194703035x+1869437180275\)	70.2.0.a.1	$[]$
360640.cq1	360640cq1	360640.cq	360640cq	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{6} \cdot 5^{5} \cdot 7^{17} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$9$	$3$	$0$	$21964800$	$2.980366$	$1346216501445963776/3268768272021875$	$1.00054$	$4.59063$	$[0, -1, 0, 4508719, -6588939125]$	\(y^2=x^3-x^2+4508719x-6588939125\)	70.2.0.a.1	$[]$
360640.fr1	360640fr1	360640.fr	360640fr	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{6} \cdot 5^{5} \cdot 7^{17} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$4$	$2$	$0$	$21964800$	$2.980366$	$1346216501445963776/3268768272021875$	$1.00054$	$4.59063$	$[0, 1, 0, 4508719, 6588939125]$	\(y^2=x^3+x^2+4508719x+6588939125\)	70.2.0.a.1	$[]$
450800.fe1	450800fe1	450800.fe	450800fe	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{12} \cdot 5^{11} \cdot 7^{17} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$55.26931519$	$1$		$0$	$263577600$	$4.131660$	$1346216501445963776/3268768272021875$	$1.00054$	$5.57314$	$[0, 1, 0, 450871867, 6587586509363]$	\(y^2=x^3+x^2+450871867x+6587586509363\)	70.2.0.a.1	$[(29509486232528603511016654/17186587119, 164402008194366414518650877990867056739/17186587119)]$
463680.g1	463680g1	463680.g	463680g	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{6} \cdot 3^{6} \cdot 5^{5} \cdot 7^{11} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$33.28097589$	$1$		$0$	$13728000$	$2.556717$	$1346216501445963776/3268768272021875$	$1.00054$	$4.11255$	$[0, 0, 0, 828132, -518544542]$	\(y^2=x^3+828132x-518544542\)	70.2.0.a.1	$[(756314036440579/937533, 23756670895085296775227/937533)]$
463680.hd1	463680hd1	463680.hd	463680hd	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{6} \cdot 3^{6} \cdot 5^{5} \cdot 7^{11} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$13728000$	$2.556717$	$1346216501445963776/3268768272021875$	$1.00054$	$4.11255$	$[0, 0, 0, 828132, 518544542]$	\(y^2=x^3+828132x+518544542\)	70.2.0.a.1	$[]$
487025.bw1	487025bw1	487025.bw	487025bw	$1$	$1$	\( 5^{2} \cdot 7 \cdot 11^{2} \cdot 23 \)	\( - 5^{11} \cdot 7^{11} \cdot 11^{6} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$71.81218116$	$1$		$0$	$163363200$	$3.664501$	$1346216501445963776/3268768272021875$	$1.00054$	$5.11219$	$[0, 1, 1, 69586092, -399388138781]$	\(y^2+y=x^3+x^2+69586092x-399388138781\)	70.2.0.a.1	$[(313359182266518319763423947461733/203005140812094, 6312982916176743040133222491956256886922501861083/203005140812094)]$