Elliptic curve search results

Results (24 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
4998.bb1	4998bf1	4998.bb	4998bf	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \)	\( - 2^{13} \cdot 3^{9} \cdot 7^{10} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$117936$	$2.349575$	$3947714094191/46599266304$	$1.10487$	$6.03847$	$[1, 1, 1, 216040, -170134567]$	\(y^2+xy+y=x^3+x^2+216040x-170134567\)	24.2.0.b.1	$[ ]$
4998.bl1	4998bi1	4998.bl	4998bi	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \)	\( - 2^{13} \cdot 3^{9} \cdot 7^{4} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$0.019677911$	$1$		$22$	$16848$	$1.376621$	$3947714094191/46599266304$	$1.10487$	$4.66760$	$[1, 0, 0, 4409, 496649]$	\(y^2+xy=x^3+4409x+496649\)	24.2.0.b.1	$[(662, 16805)]$
14994.o1	14994v1	14994.o	14994v	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{13} \cdot 3^{15} \cdot 7^{10} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$9.248665421$	$1$		$0$	$943488$	$2.898884$	$3947714094191/46599266304$	$1.10487$	$6.03408$	$[1, -1, 0, 1944360, 4595577664]$	\(y^2+xy=x^3-x^2+1944360x+4595577664\)	24.2.0.b.1	$[(-10825/7, 22147994/7)]$
14994.bb1	14994q1	14994.bb	14994q	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{13} \cdot 3^{15} \cdot 7^{4} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$0.945264725$	$1$		$4$	$134784$	$1.925926$	$3947714094191/46599266304$	$1.10487$	$4.81983$	$[1, -1, 0, 39681, -13409523]$	\(y^2+xy=x^3-x^2+39681x-13409523\)	24.2.0.b.1	$[(1227, 42762)]$
39984.ba1	39984be1	39984.ba	39984be	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 17 \)	\( - 2^{25} \cdot 3^{9} \cdot 7^{4} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$404352$	$2.069767$	$3947714094191/46599266304$	$1.10487$	$4.53658$	$[0, -1, 0, 70544, -31785536]$	\(y^2=x^3-x^2+70544x-31785536\)	24.2.0.b.1	$[ ]$
39984.dg1	39984dn1	39984.dg	39984dn	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 17 \)	\( - 2^{25} \cdot 3^{9} \cdot 7^{10} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1.385978732$	$1$		$4$	$2830464$	$3.042725$	$3947714094191/46599266304$	$1.10487$	$5.63843$	$[0, 1, 0, 3456640, 10895525556]$	\(y^2=x^3+x^2+3456640x+10895525556\)	24.2.0.b.1	$[(-1046, 78336)]$
84966.da1	84966cp1	84966.da	84966cp	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{13} \cdot 3^{9} \cdot 7^{4} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$4852224$	$2.793228$	$3947714094191/46599266304$	$1.10487$	$5.00019$	$[1, 1, 1, 1274195, 2438762339]$	\(y^2+xy+y=x^3+x^2+1274195x+2438762339\)	24.2.0.b.1	$[ ]$
84966.dx1	84966ds1	84966.dx	84966ds	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{13} \cdot 3^{9} \cdot 7^{10} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$33965568$	$3.766182$	$3947714094191/46599266304$	$1.10487$	$6.02887$	$[1, 0, 0, 62435554, -836308175676]$	\(y^2+xy=x^3+62435554x-836308175676\)	24.2.0.b.1	$[ ]$
119952.cg1	119952ew1	119952.cg	119952ew	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{25} \cdot 3^{15} \cdot 7^{10} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$22643712$	$3.592030$	$3947714094191/46599266304$	$1.10487$	$5.67240$	$[0, 0, 0, 31109757, -294148080254]$	\(y^2=x^3+31109757x-294148080254\)	24.2.0.b.1	$[ ]$
119952.dy1	119952dx1	119952.dy	119952dx	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{25} \cdot 3^{15} \cdot 7^{4} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$3234816$	$2.619076$	$3947714094191/46599266304$	$1.10487$	$4.67406$	$[0, 0, 0, 634893, 857574578]$	\(y^2=x^3+634893x+857574578\)	24.2.0.b.1	$[ ]$
124950.n1	124950e1	124950.n	124950e	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{13} \cdot 3^{9} \cdot 5^{6} \cdot 7^{4} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$2358720$	$2.181339$	$3947714094191/46599266304$	$1.10487$	$4.21020$	$[1, 1, 0, 110225, 62081125]$	\(y^2+xy=x^3+x^2+110225x+62081125\)	24.2.0.b.1	$[ ]$
124950.cr1	124950cu1	124950.cr	124950cu	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{13} \cdot 3^{9} \cdot 5^{6} \cdot 7^{10} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$6.653026258$	$1$		$0$	$16511040$	$3.154293$	$3947714094191/46599266304$	$1.10487$	$5.20507$	$[1, 0, 1, 5400999, -21277622852]$	\(y^2+xy+y=x^3+5400999x-21277622852\)	24.2.0.b.1	$[(8747/2, 243087/2)]$
159936.bt1	159936dh1	159936.bt	159936dh	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \)	\( - 2^{31} \cdot 3^{9} \cdot 7^{10} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$9$	$3$	$0$	$22643712$	$3.389297$	$3947714094191/46599266304$	$1.10487$	$5.33319$	$[0, -1, 0, 13826559, 87150377889]$	\(y^2=x^3-x^2+13826559x+87150377889\)	24.2.0.b.1	$[ ]$
159936.dq1	159936jw1	159936.dq	159936jw	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \)	\( - 2^{31} \cdot 3^{9} \cdot 7^{4} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$4.183893236$	$1$		$2$	$3234816$	$2.416340$	$3947714094191/46599266304$	$1.10487$	$4.35881$	$[0, -1, 0, 282175, 254002113]$	\(y^2=x^3-x^2+282175x+254002113\)	24.2.0.b.1	$[(-296, 12019)]$
159936.hq1	159936gf1	159936.hq	159936gf	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \)	\( - 2^{31} \cdot 3^{9} \cdot 7^{10} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$22643712$	$3.389297$	$3947714094191/46599266304$	$1.10487$	$5.33319$	$[0, 1, 0, 13826559, -87150377889]$	\(y^2=x^3+x^2+13826559x-87150377889\)	24.2.0.b.1	$[ ]$
159936.ii1	159936br1	159936.ii	159936br	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \)	\( - 2^{31} \cdot 3^{9} \cdot 7^{4} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$2.380221710$	$1$		$2$	$3234816$	$2.416340$	$3947714094191/46599266304$	$1.10487$	$4.35881$	$[0, 1, 0, 282175, -254002113]$	\(y^2=x^3+x^2+282175x-254002113\)	24.2.0.b.1	$[(517, 5508)]$
254898.bh1	254898bh1	254898.bh	254898bh	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{13} \cdot 3^{15} \cdot 7^{4} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$9$	$3$	$0$	$38817792$	$3.342533$	$3947714094191/46599266304$	$1.10487$	$5.08843$	$[1, -1, 0, 11467755, -65835115403]$	\(y^2+xy=x^3-x^2+11467755x-65835115403\)	24.2.0.b.1	$[ ]$
254898.ch1	254898ch1	254898.ch	254898ch	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{13} \cdot 3^{15} \cdot 7^{10} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$36.65769198$	$1$		$0$	$271724544$	$4.315491$	$3947714094191/46599266304$	$1.10487$	$6.02632$	$[1, -1, 0, 561919986, 22580320743252]$	\(y^2+xy=x^3-x^2+561919986x+22580320743252\)	24.2.0.b.1	$[(944549442118802013/10311812, 5825394281792925291538528203/10311812)]$
374850.nx1	374850nx1	374850.nx	374850nx	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{13} \cdot 3^{15} \cdot 5^{6} \cdot 7^{10} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$3.317375171$	$1$		$2$	$132088320$	$3.703602$	$3947714094191/46599266304$	$1.10487$	$5.27312$	$[1, -1, 1, 48608995, 574495816997]$	\(y^2+xy+y=x^3-x^2+48608995x+574495816997\)	24.2.0.b.1	$[(-5757, 325096)]$
374850.ny1	374850ny1	374850.ny	374850ny	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{13} \cdot 3^{15} \cdot 5^{6} \cdot 7^{4} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$3.630776087$	$1$		$2$	$18869760$	$2.730644$	$3947714094191/46599266304$	$1.10487$	$4.36341$	$[1, -1, 1, 992020, -1675198353]$	\(y^2+xy+y=x^3-x^2+992020x-1675198353\)	24.2.0.b.1	$[(3125, 177141)]$
479808.fy1	479808fy1	479808.fy	479808fy	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{31} \cdot 3^{15} \cdot 7^{4} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$2.681459611$	$1$		$2$	$25878528$	$2.965649$	$3947714094191/46599266304$	$1.10487$	$4.49665$	$[0, 0, 0, 2539572, -6860596624]$	\(y^2=x^3+2539572x-6860596624\)	24.2.0.b.1	$[(10990, 1161216)]$
479808.ia1	479808ia1	479808.ia	479808ia	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{31} \cdot 3^{15} \cdot 7^{4} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$25878528$	$2.965649$	$3947714094191/46599266304$	$1.10487$	$4.49665$	$[0, 0, 0, 2539572, 6860596624]$	\(y^2=x^3+2539572x+6860596624\)	24.2.0.b.1	$[ ]$
479808.kh1	479808kh1	479808.kh	479808kh	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{31} \cdot 3^{15} \cdot 7^{10} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$5.635463239$	$1$		$2$	$181149696$	$3.938602$	$3947714094191/46599266304$	$1.10487$	$5.38919$	$[0, 0, 0, 124439028, 2353184642032]$	\(y^2=x^3+124439028x+2353184642032\)	24.2.0.b.1	$[(254846, 128784384)]$
479808.mk1	479808mk1	479808.mk	479808mk	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{31} \cdot 3^{15} \cdot 7^{10} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$9$	$3$	$0$	$181149696$	$3.938602$	$3947714094191/46599266304$	$1.10487$	$5.38919$	$[0, 0, 0, 124439028, -2353184642032]$	\(y^2=x^3+124439028x-2353184642032\)	24.2.0.b.1	$[ ]$

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