Elliptic curve search results

Results (24 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
4225.e1	4225n2	4225.e	4225n	$2$	$2$	\( 5^{2} \cdot 13^{2} \)	\( 5^{9} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 3$	16.24.0.22, 3.3.0.1	2B, 3Nn	$3120$	$1152$	$41$	$11.14434425$	$1$		$0$	$49920$	$2.192997$	$16974593$	$0.93779$	$6.49397$	$[1, 0, 0, -1470388, -686359233]$	\(y^2+xy=x^3-1470388x-686359233\)	2.3.0.a.1, 3.3.0.a.1, 4.6.0.d.1, 6.9.0.a.1, 8.12.0.w.1, $\ldots$	$[(-368258/23, 4576615/23)]$
4225.h1	4225m2	4225.h	4225m	$2$	$2$	\( 5^{2} \cdot 13^{2} \)	\( 5^{3} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 3$	16.24.0.22, 3.3.0.1	2B, 3Nn	$3120$	$1152$	$41$	$2.897694497$	$1$		$2$	$768$	$0.105803$	$16974593$	$0.93779$	$3.49397$	$[1, 1, 1, -348, -2644]$	\(y^2+xy+y=x^3+x^2-348x-2644\)	2.3.0.a.1, 3.3.0.a.1, 4.6.0.d.1, 6.9.0.a.1, 8.12.0.w.1, $\ldots$	$[(135, 1492)]$
4225.k1	4225k2	4225.k	4225k	$2$	$2$	\( 5^{2} \cdot 13^{2} \)	\( 5^{9} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 3$	16.24.0.22, 3.3.0.1	2B, 3Nn	$3120$	$1152$	$41$	$5.893512664$	$1$		$0$	$3840$	$0.910522$	$16974593$	$0.93779$	$4.65062$	$[1, 0, 1, -8701, -313077]$	\(y^2+xy+y=x^3-8701x-313077\)	2.3.0.a.1, 3.3.0.a.1, 4.6.0.d.1, 6.9.0.a.1, 8.12.0.w.1, $\ldots$	$[(-1949/6, 5081/6)]$
4225.m1	4225j2	4225.m	4225j	$2$	$2$	\( 5^{2} \cdot 13^{2} \)	\( 5^{3} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 3$	16.24.0.22, 3.3.0.1	2B, 3Nn	$3120$	$1152$	$41$	$19.24844416$	$1$		$0$	$9984$	$1.388277$	$16974593$	$0.93779$	$5.33732$	$[1, 1, 0, -58815, -5514400]$	\(y^2+xy=x^3+x^2-58815x-5514400\)	2.3.0.a.1, 3.3.0.a.1, 4.6.0.d.1, 6.9.0.a.1, 8.12.0.w.1, $\ldots$	$[(-1221630881/2958, 1809973183001/2958)]$
38025.t1	38025cv2	38025.t	38025cv	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 3^{6} \cdot 5^{3} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 3$	16.24.0.22, 3.3.0.1	2B, 3Nn	$3120$	$1152$	$41$	$1$	$1$		$0$	$239616$	$1.937584$	$16974593$	$0.93779$	$4.85035$	$[1, -1, 1, -529340, 148359462]$	\(y^2+xy+y=x^3-x^2-529340x+148359462\)	2.3.0.a.1, 3.3.0.a.1, 4.6.0.d.1, 6.9.0.a.1, 8.12.0.w.1, $\ldots$	$[]$
38025.u1	38025cu2	38025.u	38025cu	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 3^{6} \cdot 5^{9} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 3$	16.24.0.22, 3.3.0.1	2B, 3Nn	$3120$	$1152$	$41$	$1$	$1$		$0$	$92160$	$1.459827$	$16974593$	$0.93779$	$4.30672$	$[1, -1, 1, -78305, 8453072]$	\(y^2+xy+y=x^3-x^2-78305x+8453072\)	2.3.0.a.1, 3.3.0.a.1, 4.6.0.d.1, 6.9.0.a.1, 8.12.0.w.1, $\ldots$	$[]$
38025.ck1	38025cs2	38025.ck	38025cs	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 3^{6} \cdot 5^{9} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 3$	16.24.0.22, 3.3.0.1	2B, 3Nn	$3120$	$1152$	$41$	$1$	$1$		$0$	$1198080$	$2.742302$	$16974593$	$0.93779$	$5.76601$	$[1, -1, 0, -13233492, 18531699291]$	\(y^2+xy=x^3-x^2-13233492x+18531699291\)	2.3.0.a.1, 3.3.0.a.1, 4.6.0.d.1, 6.9.0.a.1, 8.12.0.w.1, $\ldots$	$[]$
38025.cl1	38025cr2	38025.cl	38025cr	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 3^{6} \cdot 5^{3} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 3$	16.24.0.22, 3.3.0.1	2B, 3Nn	$3120$	$1152$	$41$	$1$	$1$		$0$	$18432$	$0.655109$	$16974593$	$0.93779$	$3.39106$	$[1, -1, 0, -3132, 68251]$	\(y^2+xy=x^3-x^2-3132x+68251\)	2.3.0.a.1, 3.3.0.a.1, 4.6.0.d.1, 6.9.0.a.1, 8.12.0.w.1, $\ldots$	$[]$
67600.o1	67600dm2	67600.o	67600dm	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{12} \cdot 5^{3} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 3$	16.24.0.22, 3.3.0.1	2B, 3Nn	$3120$	$1152$	$41$	$1$	$1$		$1$	$638976$	$2.081425$	$16974593$	$0.93779$	$4.75462$	$[0, 1, 0, -941048, 351039508]$	\(y^2=x^3+x^2-941048x+351039508\)	2.3.0.a.1, 3.3.0.a.1, 4.6.0.d.1, 6.9.0.a.1, 8.12.0.w.1, $\ldots$	$[]$
67600.p1	67600dl2	67600.p	67600dl	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{12} \cdot 5^{3} \cdot 13^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 3$	16.24.0.22, 3.3.0.1	2B, 3Nn	$3120$	$1152$	$41$	$1.339361760$	$1$		$19$	$49152$	$0.798950$	$16974593$	$0.93779$	$3.37082$	$[0, 1, 0, -5568, 158068]$	\(y^2=x^3+x^2-5568x+158068\)	2.3.0.a.1, 3.3.0.a.1, 4.6.0.d.1, 6.9.0.a.1, 8.12.0.w.1, $\ldots$	$[(42, 8), (44, 14)]$
67600.cy1	67600di2	67600.cy	67600di	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{12} \cdot 5^{9} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 3$	16.24.0.22, 3.3.0.1	2B, 3Nn	$3120$	$1152$	$41$	$1$	$4$	$2$	$1$	$3194880$	$2.886143$	$16974593$	$0.93779$	$5.62291$	$[0, -1, 0, -23526208, 43926990912]$	\(y^2=x^3-x^2-23526208x+43926990912\)	2.3.0.a.1, 3.3.0.a.1, 4.6.0.d.1, 6.9.0.a.1, 8.12.0.w.1, $\ldots$	$[]$
67600.dc1	67600dh2	67600.dc	67600dh	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{12} \cdot 5^{9} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 3$	16.24.0.22, 3.3.0.1	2B, 3Nn	$3120$	$1152$	$41$	$1$	$1$		$1$	$245760$	$1.603670$	$16974593$	$0.93779$	$4.23912$	$[0, -1, 0, -139208, 20036912]$	\(y^2=x^3-x^2-139208x+20036912\)	2.3.0.a.1, 3.3.0.a.1, 4.6.0.d.1, 6.9.0.a.1, 8.12.0.w.1, $\ldots$	$[]$
207025.q1	207025q2	207025.q	207025q	$2$	$2$	\( 5^{2} \cdot 7^{2} \cdot 13^{2} \)	\( 5^{3} \cdot 7^{6} \cdot 13^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 3$	16.24.0.22, 3.3.0.1	2B, 3Nn	$21840$	$1152$	$41$	$1.136010295$	$1$		$16$	$294912$	$1.078758$	$16974593$	$0.93779$	$3.33692$	$[1, 0, 0, -17053, 855672]$	\(y^2+xy=x^3-17053x+855672\)	2.3.0.a.1, 3.3.0.a.1, 4.6.0.d.1, 6.9.0.a.1, 8.12.0.w.1, $\ldots$	$[(67, 89), (92, 214)]$
207025.bf1	207025bf2	207025.bf	207025bf	$2$	$2$	\( 5^{2} \cdot 7^{2} \cdot 13^{2} \)	\( 5^{9} \cdot 7^{6} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 3$	16.24.0.22, 3.3.0.1	2B, 3Nn	$21840$	$1152$	$41$	$1$	$4$	$2$	$0$	$19169280$	$3.165951$	$16974593$	$0.93779$	$5.38309$	$[1, 1, 1, -72049013, 235349167906]$	\(y^2+xy+y=x^3+x^2-72049013x+235349167906\)	2.3.0.a.1, 3.3.0.a.1, 4.6.0.d.1, 6.9.0.a.1, 8.12.0.w.1, $\ldots$	$[]$
207025.bu1	207025bt2	207025.bu	207025bt	$2$	$2$	\( 5^{2} \cdot 7^{2} \cdot 13^{2} \)	\( 5^{3} \cdot 7^{6} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 3$	16.24.0.22, 3.3.0.1	2B, 3Nn	$21840$	$1152$	$41$	$1$	$1$		$0$	$3833856$	$2.361233$	$16974593$	$0.93779$	$4.59418$	$[1, 0, 1, -2881961, 1882793343]$	\(y^2+xy+y=x^3-2881961x+1882793343\)	2.3.0.a.1, 3.3.0.a.1, 4.6.0.d.1, 6.9.0.a.1, 8.12.0.w.1, $\ldots$	$[]$
207025.cj1	207025cj2	207025.cj	207025cj	$2$	$2$	\( 5^{2} \cdot 7^{2} \cdot 13^{2} \)	\( 5^{9} \cdot 7^{6} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 3$	16.24.0.22, 3.3.0.1	2B, 3Nn	$21840$	$1152$	$41$	$1$	$1$		$0$	$1474560$	$1.883478$	$16974593$	$0.93779$	$4.12582$	$[1, 1, 0, -426325, 106959000]$	\(y^2+xy=x^3+x^2-426325x+106959000\)	2.3.0.a.1, 3.3.0.a.1, 4.6.0.d.1, 6.9.0.a.1, 8.12.0.w.1, $\ldots$	$[]$
270400.bn1	270400bn2	270400.bn	270400bn	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{18} \cdot 5^{9} \cdot 13^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 3$	16.24.0.22, 3.3.0.1	2B, 3Nn	$3120$	$1152$	$41$	$5.464613703$	$1$		$9$	$1966080$	$1.950243$	$16974593$	$0.93779$	$4.10178$	$[0, 1, 0, -556833, 159738463]$	\(y^2=x^3+x^2-556833x+159738463\)	2.3.0.a.1, 3.3.0.a.1, 4.6.0.d.1, 6.9.0.a.1, 8.12.0.w.1, $\ldots$	$[(407, 832), (-841, 5824)]$
270400.bo1	270400bo2	270400.bo	270400bo	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{18} \cdot 5^{3} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 3$	16.24.0.22, 3.3.0.1	2B, 3Nn	$3120$	$1152$	$41$	$2.459642272$	$4$	$2$	$5$	$5111808$	$2.427998$	$16974593$	$0.93779$	$4.56015$	$[0, 1, 0, -3764193, -2812080257]$	\(y^2=x^3+x^2-3764193x-2812080257\)	2.3.0.a.1, 3.3.0.a.1, 4.6.0.d.1, 6.9.0.a.1, 8.12.0.w.1, $\ldots$	$[(-1117, 320)]$
270400.bt1	270400bt2	270400.bt	270400bt	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{18} \cdot 5^{3} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 3$	16.24.0.22, 3.3.0.1	2B, 3Nn	$3120$	$1152$	$41$	$2.778406544$	$1$		$5$	$393216$	$1.145523$	$16974593$	$0.93779$	$3.32972$	$[0, 1, 0, -22273, -1286817]$	\(y^2=x^3+x^2-22273x-1286817\)	2.3.0.a.1, 3.3.0.a.1, 4.6.0.d.1, 6.9.0.a.1, 8.12.0.w.1, $\ldots$	$[(-86, 1)]$
270400.bu1	270400bu2	270400.bu	270400bu	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{18} \cdot 5^{9} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 3$	16.24.0.22, 3.3.0.1	2B, 3Nn	$3120$	$1152$	$41$	$1$	$1$		$1$	$25559040$	$3.232719$	$16974593$	$0.93779$	$5.33220$	$[0, 1, 0, -94104833, 351321822463]$	\(y^2=x^3+x^2-94104833x+351321822463\)	2.3.0.a.1, 3.3.0.a.1, 4.6.0.d.1, 6.9.0.a.1, 8.12.0.w.1, $\ldots$	$[]$
270400.is1	270400is2	270400.is	270400is	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{18} \cdot 5^{3} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 3$	16.24.0.22, 3.3.0.1	2B, 3Nn	$3120$	$1152$	$41$	$1$	$1$		$1$	$393216$	$1.145523$	$16974593$	$0.93779$	$3.32972$	$[0, -1, 0, -22273, 1286817]$	\(y^2=x^3-x^2-22273x+1286817\)	2.3.0.a.1, 3.3.0.a.1, 4.6.0.d.1, 6.9.0.a.1, 8.12.0.w.1, $\ldots$	$[]$
270400.it1	270400it2	270400.it	270400it	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{18} \cdot 5^{9} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 3$	16.24.0.22, 3.3.0.1	2B, 3Nn	$3120$	$1152$	$41$	$64.41479856$	$1$		$1$	$25559040$	$3.232719$	$16974593$	$0.93779$	$5.33220$	$[0, -1, 0, -94104833, -351321822463]$	\(y^2=x^3-x^2-94104833x-351321822463\)	2.3.0.a.1, 3.3.0.a.1, 4.6.0.d.1, 6.9.0.a.1, 8.12.0.w.1, $\ldots$	$[(-50573511401418644114940160136/3002182352277, 108092899841356160010542755806015137489081/3002182352277)]$
270400.iz1	270400iz2	270400.iz	270400iz	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{18} \cdot 5^{9} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 3$	16.24.0.22, 3.3.0.1	2B, 3Nn	$3120$	$1152$	$41$	$4.289436140$	$4$	$2$	$3$	$1966080$	$1.950243$	$16974593$	$0.93779$	$4.10178$	$[0, -1, 0, -556833, -159738463]$	\(y^2=x^3-x^2-556833x-159738463\)	2.3.0.a.1, 3.3.0.a.1, 4.6.0.d.1, 6.9.0.a.1, 8.12.0.w.1, $\ldots$	$[(1673, 59904)]$
270400.ja1	270400ja2	270400.ja	270400ja	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{18} \cdot 5^{3} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 3$	16.24.0.22, 3.3.0.1	2B, 3Nn	$3120$	$1152$	$41$	$1$	$4$	$2$	$1$	$5111808$	$2.427998$	$16974593$	$0.93779$	$4.56015$	$[0, -1, 0, -3764193, 2812080257]$	\(y^2=x^3-x^2-3764193x+2812080257\)	2.3.0.a.1, 3.3.0.a.1, 4.6.0.d.1, 6.9.0.a.1, 8.12.0.w.1, $\ldots$	$[]$