Elliptic curve search results

Results (32 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
4200.o1	4200v1	4200.o	4200v	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \)	\( - 2^{4} \cdot 3^{16} \cdot 5^{4} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$10752$	$1.330616$	$-427361108435200/301327047$	$1.03906$	$5.14216$	$[0, -1, 0, -33808, -2382863]$	\(y^2=x^3-x^2-33808x-2382863\)	14.2.0.a.1	$[]$
4200.ba1	4200m1	4200.ba	4200m	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \)	\( - 2^{4} \cdot 3^{16} \cdot 5^{10} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$53760$	$2.135334$	$-427361108435200/301327047$	$1.03906$	$6.29963$	$[0, 1, 0, -845208, -299548287]$	\(y^2=x^3+x^2-845208x-299548287\)	14.2.0.a.1	$[]$
8400.n1	8400k1	8400.n	8400k	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \)	\( - 2^{4} \cdot 3^{16} \cdot 5^{10} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$107520$	$2.135334$	$-427361108435200/301327047$	$1.03906$	$5.81639$	$[0, -1, 0, -845208, 299548287]$	\(y^2=x^3-x^2-845208x+299548287\)	14.2.0.a.1	$[]$
8400.bk1	8400be1	8400.bk	8400be	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \)	\( - 2^{4} \cdot 3^{16} \cdot 5^{4} \cdot 7 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$0.127064507$	$1$		$6$	$21504$	$1.330616$	$-427361108435200/301327047$	$1.03906$	$4.74771$	$[0, 1, 0, -33808, 2382863]$	\(y^2=x^3+x^2-33808x+2382863\)	14.2.0.a.1	$[(113, 135)]$
12600.b1	12600bx1	12600.b	12600bx	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \)	\( - 2^{4} \cdot 3^{22} \cdot 5^{10} \cdot 7 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$5.161062278$	$1$		$2$	$430080$	$2.684643$	$-427361108435200/301327047$	$1.03906$	$6.26477$	$[0, 0, 0, -7606875, 8080196875]$	\(y^2=x^3-7606875x+8080196875\)	14.2.0.a.1	$[(1469, 8703)]$
12600.bf1	12600bh1	12600.bf	12600bh	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \)	\( - 2^{4} \cdot 3^{22} \cdot 5^{4} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$86016$	$1.879923$	$-427361108435200/301327047$	$1.03906$	$5.24198$	$[0, 0, 0, -304275, 64641575]$	\(y^2=x^3-304275x+64641575\)	14.2.0.a.1	$[]$
25200.cy1	25200cd1	25200.cy	25200cd	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \)	\( - 2^{4} \cdot 3^{22} \cdot 5^{4} \cdot 7 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$26.84201205$	$1$		$0$	$172032$	$1.879923$	$-427361108435200/301327047$	$1.03906$	$4.88346$	$[0, 0, 0, -304275, -64641575]$	\(y^2=x^3-304275x-64641575\)	14.2.0.a.1	$[(1237852274336/19813, 1354541485377266559/19813)]$
25200.fr1	25200bu1	25200.fr	25200bu	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \)	\( - 2^{4} \cdot 3^{22} \cdot 5^{10} \cdot 7 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$65.88188876$	$1$		$0$	$860160$	$2.684643$	$-427361108435200/301327047$	$1.03906$	$5.83629$	$[0, 0, 0, -7606875, -8080196875]$	\(y^2=x^3-7606875x-8080196875\)	14.2.0.a.1	$[(111390799790670720859381273804/2678702478401, 36544699549004455586121425442989553117567033/2678702478401)]$
29400.cj1	29400s1	29400.cj	29400s	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{16} \cdot 5^{10} \cdot 7^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$2580480$	$3.108292$	$-427361108435200/301327047$	$1.03906$	$6.24296$	$[0, -1, 0, -41415208, 102662232037]$	\(y^2=x^3-x^2-41415208x+102662232037\)	14.2.0.a.1	$[]$
29400.es1	29400er1	29400.es	29400er	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{16} \cdot 5^{4} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$0.359605781$	$1$		$6$	$516096$	$2.303570$	$-427361108435200/301327047$	$1.03906$	$5.30440$	$[0, 1, 0, -1656608, 820635213]$	\(y^2=x^3+x^2-1656608x+820635213\)	14.2.0.a.1	$[(982, 11907)]$
33600.d1	33600n1	33600.d	33600n	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \)	\( - 2^{10} \cdot 3^{16} \cdot 5^{10} \cdot 7 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$31.82210301$	$1$		$0$	$860160$	$2.481907$	$-427361108435200/301327047$	$1.03906$	$5.44178$	$[0, -1, 0, -3380833, -2393005463]$	\(y^2=x^3-x^2-3380833x-2393005463\)	14.2.0.a.1	$[(5079475066362712/508243, 360363865294983204793917/508243)]$
33600.cj1	33600fr1	33600.cj	33600fr	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \)	\( - 2^{10} \cdot 3^{16} \cdot 5^{4} \cdot 7 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$4.614146243$	$1$		$0$	$172032$	$1.677189$	$-427361108435200/301327047$	$1.03906$	$4.51524$	$[0, -1, 0, -135233, 19198137]$	\(y^2=x^3-x^2-135233x+19198137\)	14.2.0.a.1	$[(10184/5, 702027/5)]$
33600.fh1	33600dy1	33600.fh	33600dy	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \)	\( - 2^{10} \cdot 3^{16} \cdot 5^{4} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$172032$	$1.677189$	$-427361108435200/301327047$	$1.03906$	$4.51524$	$[0, 1, 0, -135233, -19198137]$	\(y^2=x^3+x^2-135233x-19198137\)	14.2.0.a.1	$[]$
33600.hl1	33600gz1	33600.hl	33600gz	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \)	\( - 2^{10} \cdot 3^{16} \cdot 5^{10} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$860160$	$2.481907$	$-427361108435200/301327047$	$1.03906$	$5.44178$	$[0, 1, 0, -3380833, 2393005463]$	\(y^2=x^3+x^2-3380833x+2393005463\)	14.2.0.a.1	$[]$
58800.g1	58800ci1	58800.g	58800ci	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{16} \cdot 5^{4} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$8.001017768$	$1$		$0$	$1032192$	$2.303570$	$-427361108435200/301327047$	$1.03906$	$4.96960$	$[0, -1, 0, -1656608, -820635213]$	\(y^2=x^3-x^2-1656608x-820635213\)	14.2.0.a.1	$[(2038151/31, 2148510987/31)]$
58800.fn1	58800ds1	58800.fn	58800ds	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{16} \cdot 5^{10} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$8.141365535$	$1$		$0$	$5160960$	$3.108292$	$-427361108435200/301327047$	$1.03906$	$5.84893$	$[0, 1, 0, -41415208, -102662232037]$	\(y^2=x^3+x^2-41415208x-102662232037\)	14.2.0.a.1	$[(256901/5, 93288699/5)]$
88200.d1	88200eg1	88200.d	88200eg	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{22} \cdot 5^{4} \cdot 7^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$4128768$	$2.852879$	$-427361108435200/301327047$	$1.03906$	$5.37151$	$[0, 0, 0, -14909475, -22172060225]$	\(y^2=x^3-14909475x-22172060225\)	14.2.0.a.1	$[]$
88200.i1	88200hl1	88200.i	88200hl	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{22} \cdot 5^{10} \cdot 7^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$20643840$	$3.657597$	$-427361108435200/301327047$	$1.03906$	$6.21952$	$[0, 0, 0, -372736875, -2771507528125]$	\(y^2=x^3-372736875x-2771507528125\)	14.2.0.a.1	$[]$
100800.k1	100800pb1	100800.k	100800pb	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \)	\( - 2^{10} \cdot 3^{22} \cdot 5^{4} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$1376256$	$2.226498$	$-427361108435200/301327047$	$1.03906$	$4.65682$	$[0, 0, 0, -1217100, -517132600]$	\(y^2=x^3-1217100x-517132600\)	14.2.0.a.1	$[]$
100800.hq1	100800ef1	100800.hq	100800ef	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \)	\( - 2^{10} \cdot 3^{22} \cdot 5^{10} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$9$	$3$	$0$	$6881280$	$3.031216$	$-427361108435200/301327047$	$1.03906$	$5.49501$	$[0, 0, 0, -30427500, 64641575000]$	\(y^2=x^3-30427500x+64641575000\)	14.2.0.a.1	$[]$
100800.in1	100800od1	100800.in	100800od	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \)	\( - 2^{10} \cdot 3^{22} \cdot 5^{10} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$49$	$7$	$0$	$6881280$	$3.031216$	$-427361108435200/301327047$	$1.03906$	$5.49501$	$[0, 0, 0, -30427500, -64641575000]$	\(y^2=x^3-30427500x-64641575000\)	14.2.0.a.1	$[]$
100800.pr1	100800ik1	100800.pr	100800ik	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \)	\( - 2^{10} \cdot 3^{22} \cdot 5^{4} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$1376256$	$2.226498$	$-427361108435200/301327047$	$1.03906$	$4.65682$	$[0, 0, 0, -1217100, 517132600]$	\(y^2=x^3-1217100x+517132600\)	14.2.0.a.1	$[]$
176400.st1	176400mz1	176400.st	176400mz	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{22} \cdot 5^{4} \cdot 7^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$8257536$	$2.852879$	$-427361108435200/301327047$	$1.03906$	$5.06331$	$[0, 0, 0, -14909475, 22172060225]$	\(y^2=x^3-14909475x+22172060225\)	14.2.0.a.1	$[]$
176400.ta1	176400qs1	176400.ta	176400qs	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{22} \cdot 5^{10} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$28.40625277$	$1$		$0$	$41287680$	$3.657597$	$-427361108435200/301327047$	$1.03906$	$5.86266$	$[0, 0, 0, -372736875, 2771507528125]$	\(y^2=x^3-372736875x+2771507528125\)	14.2.0.a.1	$[(55098830982356/48703, 297844312692782244879/48703)]$
235200.ba1	235200ba1	235200.ba	235200ba	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{16} \cdot 5^{4} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$2.102321203$	$1$		$2$	$8257536$	$2.650146$	$-427361108435200/301327047$	$1.03906$	$4.74884$	$[0, -1, 0, -6626433, 6571708137]$	\(y^2=x^3-x^2-6626433x+6571708137\)	14.2.0.a.1	$[(13872, 1607445)]$
235200.nl1	235200nl1	235200.nl	235200nl	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{16} \cdot 5^{10} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$82.03246848$	$1$		$0$	$41287680$	$3.454865$	$-427361108435200/301327047$	$1.03906$	$5.52960$	$[0, -1, 0, -165660833, -821132195463]$	\(y^2=x^3-x^2-165660833x-821132195463\)	14.2.0.a.1	$[(183310030168914132554473557925652290232/87177803786097023, 2011213197584862646509174626732890421599223448062945755713/87177803786097023)]$
235200.pm1	235200pm1	235200.pm	235200pm	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{16} \cdot 5^{10} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1.461482326$	$1$		$2$	$41287680$	$3.454865$	$-427361108435200/301327047$	$1.03906$	$5.52960$	$[0, 1, 0, -165660833, 821132195463]$	\(y^2=x^3+x^2-165660833x+821132195463\)	14.2.0.a.1	$[(8122, 107163)]$
235200.bcb1	235200bcb1	235200.bcb	235200bcb	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{16} \cdot 5^{4} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1.157349308$	$1$		$2$	$8257536$	$2.650146$	$-427361108435200/301327047$	$1.03906$	$4.74884$	$[0, 1, 0, -6626433, -6571708137]$	\(y^2=x^3+x^2-6626433x-6571708137\)	14.2.0.a.1	$[(3138, 59535)]$
705600.cs1	-	705600.cs	-	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{22} \cdot 5^{10} \cdot 7^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$330301440$	$4.004173$	$-427361108435200/301327047$	$1.03906$	$5.56798$	$[0, 0, 0, -1490947500, 22172060225000]$	\(y^2=x^3-1490947500x+22172060225000\)	14.2.0.a.1	$[]$
705600.du1	-	705600.du	-	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{22} \cdot 5^{4} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$7.288825643$	$1$		$0$	$66060288$	$3.199451$	$-427361108435200/301327047$	$1.03906$	$4.85091$	$[0, 0, 0, -59637900, 177376481800]$	\(y^2=x^3-59637900x+177376481800\)	14.2.0.a.1	$[(103901/5, 4515399/5)]$
705600.bzb1	-	705600.bzb	-	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{22} \cdot 5^{10} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$104.1749571$	$1$		$0$	$330301440$	$4.004173$	$-427361108435200/301327047$	$1.03906$	$5.56798$	$[0, 0, 0, -1490947500, -22172060225000]$	\(y^2=x^3-1490947500x-22172060225000\)	14.2.0.a.1	$[(40592059074950432903753769830366931653057250461/926175423666908591257, 2890840101626402868009398030152824893790181070285412887029462449610959/926175423666908591257)]$
705600.cad1	-	705600.cad	-	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{22} \cdot 5^{4} \cdot 7^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$49$	$7$	$0$	$66060288$	$3.199451$	$-427361108435200/301327047$	$1.03906$	$4.85091$	$[0, 0, 0, -59637900, -177376481800]$	\(y^2=x^3-59637900x-177376481800\)	14.2.0.a.1	$[]$