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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
157170.a1 157170.a \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\mathsf{trivial}$ $1.901968393$ $[1, 1, 0, -113233, -15219563]$ \(y^2+xy=x^3+x^2-113233x-15219563\) 310.2.0.?
157170.b1 157170.b \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -12678, 3879972]$ \(y^2+xy=x^3+x^2-12678x+3879972\) 24180.2.0.?
157170.c1 157170.c \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\mathsf{trivial}$ $20.68972552$ $[1, 1, 0, 73088272, 81094742682]$ \(y^2+xy=x^3+x^2+73088272x+81094742682\) 9672.2.0.?
157170.d1 157170.d \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $5.559862286$ $[1, 1, 0, -5671643, -5200468437]$ \(y^2+xy=x^3+x^2-5671643x-5200468437\) 2.3.0.a.1, 40.6.0.b.1, 4836.6.0.?, 48360.12.0.?
157170.d2 157170.d \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $2.779931143$ $[1, 1, 0, -390393, -63924687]$ \(y^2+xy=x^3+x^2-390393x-63924687\) 2.3.0.a.1, 40.6.0.c.1, 2418.6.0.?, 48360.12.0.?
157170.e1 157170.e \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\mathsf{trivial}$ $4.898084401$ $[1, 1, 0, -100558, -96900812]$ \(y^2+xy=x^3+x^2-100558x-96900812\) 310.2.0.?
157170.f1 157170.f \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -125940493, 543680592733]$ \(y^2+xy=x^3+x^2-125940493x+543680592733\) 2.3.0.a.1, 104.6.0.?, 930.6.0.?, 48360.12.0.?
157170.f2 157170.f \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -103443213, 744081863517]$ \(y^2+xy=x^3+x^2-103443213x+744081863517\) 2.3.0.a.1, 104.6.0.?, 1860.6.0.?, 48360.12.0.?
157170.g1 157170.g \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $4.392874243$ $[1, 1, 0, -354903, -81502377]$ \(y^2+xy=x^3+x^2-354903x-81502377\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 312.12.0.?, 744.12.0.?, $\ldots$
157170.g2 157170.g \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $4.392874243$ $[1, 1, 0, -182523, 29313627]$ \(y^2+xy=x^3+x^2-182523x+29313627\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 312.12.0.?, 744.12.0.?, $\ldots$
157170.g3 157170.g \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.196437121$ $[1, 1, 0, -25353, -894447]$ \(y^2+xy=x^3+x^2-25353x-894447\) 2.6.0.a.1, 20.12.0-2.a.1.1, 312.12.0.?, 744.12.0.?, 1560.24.0.?, $\ldots$
157170.g4 157170.g \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $4.392874243$ $[1, 1, 0, 5067, -97443]$ \(y^2+xy=x^3+x^2+5067x-97443\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 312.12.0.?, 744.12.0.?, $\ldots$
157170.h1 157170.h \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\mathsf{trivial}$ $151.7278536$ $[1, 1, 0, -528931133, -4682774020803]$ \(y^2+xy=x^3+x^2-528931133x-4682774020803\) 3720.2.0.?
157170.i1 157170.i \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $176.1399865$ $[1, 1, 0, -706832709833, 228716981174898117]$ \(y^2+xy=x^3+x^2-706832709833x+228716981174898117\) 2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 120.12.0.?, 248.12.0.?, $\ldots$
157170.i2 157170.i \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $176.1399865$ $[1, 1, 0, -238397374153, -42067585392319547]$ \(y^2+xy=x^3+x^2-238397374153x-42067585392319547\) 2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.1, 120.12.0.?, 124.12.0.?, $\ldots$
157170.i3 157170.i \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $88.06999325$ $[1, 1, 0, -46869593033, 3113473423882437]$ \(y^2+xy=x^3+x^2-46869593033x+3113473423882437\) 2.6.0.a.1, 52.12.0-2.a.1.1, 60.12.0.b.1, 124.12.0.?, 780.24.0.?, $\ldots$
157170.i4 157170.i \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $176.1399865$ $[1, 1, 0, 6348588087, 294389289957573]$ \(y^2+xy=x^3+x^2+6348588087x+294389289957573\) 2.3.0.a.1, 4.6.0.c.1, 30.6.0.a.1, 52.12.0-4.c.1.2, 60.12.0.g.1, $\ldots$
157170.j1 157170.j \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\mathsf{trivial}$ $0.454653012$ $[1, 1, 0, -3895622, 2973232956]$ \(y^2+xy=x^3+x^2-3895622x+2973232956\) 3720.2.0.?
157170.k1 157170.k \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $4.649175197$ $[1, 1, 0, -17812772, 28929037116]$ \(y^2+xy=x^3+x^2-17812772x+28929037116\) 2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 130.6.0.?, 520.12.0.?
157170.k2 157170.k \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $9.298350394$ $[1, 1, 0, -17790802, 29003985574]$ \(y^2+xy=x^3+x^2-17790802x+29003985574\) 2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 260.6.0.?, 520.12.0.?
157170.l1 157170.l \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\mathsf{trivial}$ $17.06570662$ $[1, 1, 0, -11753649222, -494045581204716]$ \(y^2+xy=x^3+x^2-11753649222x-494045581204716\) 24180.2.0.?
157170.m1 157170.m \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -27212, 397896]$ \(y^2+xy=x^3+x^2-27212x+397896\) 2.3.0.a.1, 40.6.0.b.1, 124.6.0.?, 1240.12.0.?
157170.m2 157170.m \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 6588, 53136]$ \(y^2+xy=x^3+x^2+6588x+53136\) 2.3.0.a.1, 40.6.0.c.1, 62.6.0.b.1, 1240.12.0.?
157170.n1 157170.n \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $2.179489330$ $[1, 1, 0, -67832547, -37627033491]$ \(y^2+xy=x^3+x^2-67832547x-37627033491\) 2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?
157170.n2 157170.n \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $4.358978660$ $[1, 1, 0, 16667453, -4655133491]$ \(y^2+xy=x^3+x^2+16667453x-4655133491\) 2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.?
157170.o1 157170.o \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $5.528633882$ $[1, 1, 0, -111712, -14417996]$ \(y^2+xy=x^3+x^2-111712x-14417996\) 2.3.0.a.1, 60.6.0.c.1, 124.6.0.?, 1860.12.0.?
157170.o2 157170.o \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $11.05726776$ $[1, 1, 0, -6932, -230784]$ \(y^2+xy=x^3+x^2-6932x-230784\) 2.3.0.a.1, 30.6.0.a.1, 124.6.0.?, 1860.12.0.?
157170.p1 157170.p \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\mathsf{trivial}$ $12.00701386$ $[1, 1, 0, -214905642, 1212519778644]$ \(y^2+xy=x^3+x^2-214905642x+1212519778644\) 9672.2.0.?
157170.q1 157170.q \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\mathsf{trivial}$ $43.08945377$ $[1, 0, 1, -206237402544, 722295779589664126]$ \(y^2+xy+y=x^3-206237402544x+722295779589664126\) 9672.2.0.?
157170.r1 157170.r \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $2$ $\mathsf{trivial}$ $0.760435865$ $[1, 0, 1, -287304, 74001046]$ \(y^2+xy+y=x^3-287304x+74001046\) 310.2.0.?
157170.s1 157170.s \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $18.78905508$ $[1, 0, 1, -37637994, -88772264228]$ \(y^2+xy+y=x^3-37637994x-88772264228\) 2.3.0.a.1, 40.6.0.b.1, 4836.6.0.?, 48360.12.0.?
157170.s2 157170.s \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $9.394527544$ $[1, 0, 1, -3026794, -527548708]$ \(y^2+xy+y=x^3-3026794x-527548708\) 2.3.0.a.1, 40.6.0.c.1, 2418.6.0.?, 48360.12.0.?
157170.t1 157170.t \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -23664, 9646522]$ \(y^2+xy+y=x^3-23664x+9646522\) 310.2.0.?
157170.u1 157170.u \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -524, -4678]$ \(y^2+xy+y=x^3-524x-4678\) 310.2.0.?
157170.v1 157170.v \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\mathsf{trivial}$ $13.28728860$ $[1, 0, 1, 57456, 1260742]$ \(y^2+xy+y=x^3+57456x+1260742\) 3720.2.0.?
157170.w1 157170.w \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, 6666201, -4287790934]$ \(y^2+xy+y=x^3+6666201x-4287790934\) 310.2.0.?
157170.x1 157170.x \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $13.67086851$ $[1, 0, 1, -51970884, -144211968938]$ \(y^2+xy+y=x^3-51970884x-144211968938\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 52.12.0-4.c.1.1, $\ldots$
157170.x2 157170.x \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $6.835434259$ $[1, 0, 1, -3248184, -2253510218]$ \(y^2+xy+y=x^3-3248184x-2253510218\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 52.24.0-4.b.1.1, 60.24.0.c.1, $\ldots$
157170.x3 157170.x \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $13.67086851$ $[1, 0, 1, -3197484, -2327248298]$ \(y^2+xy+y=x^3-3197484x-2327248298\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 30.6.0.a.1, 52.12.0-4.c.1.1, $\ldots$
157170.x4 157170.x \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $1.708858564$ $[1, 0, 1, -625304, 148334006]$ \(y^2+xy+y=x^3-625304x+148334006\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 52.12.0-4.c.1.2, 104.48.0.?, $\ldots$
157170.x5 157170.x \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.417717129$ $[1, 0, 1, -206184, -34067018]$ \(y^2+xy+y=x^3-206184x-34067018\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 52.24.0-4.b.1.3, 104.48.0.?, $\ldots$
157170.x6 157170.x \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $6.835434259$ $[1, 0, 1, 10136, -2224714]$ \(y^2+xy+y=x^3+10136x-2224714\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.1, 52.12.0-4.c.1.2, $\ldots$
157170.y1 157170.y \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\mathsf{trivial}$ $2.404309172$ $[1, 0, 1, -365889, -85218248]$ \(y^2+xy+y=x^3-365889x-85218248\) 24180.2.0.?
157170.z1 157170.z \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $2.677274642$ $[1, 0, 1, -60788459, 180889129046]$ \(y^2+xy+y=x^3-60788459x+180889129046\) 2.3.0.a.1, 40.6.0.b.1, 4836.6.0.?, 48360.12.0.?
157170.z2 157170.z \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\Z/2\Z$ $5.354549284$ $[1, 0, 1, -6708459, -2095958954]$ \(y^2+xy+y=x^3-6708459x-2095958954\) 2.3.0.a.1, 40.6.0.c.1, 2418.6.0.?, 48360.12.0.?
157170.ba1 157170.ba \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $1$ $\mathsf{trivial}$ $1.562878671$ $[1, 0, 1, -589814, 220931336]$ \(y^2+xy+y=x^3-589814x+220931336\) 3720.2.0.?
157170.bb1 157170.bb \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, 1034276, -10668871978]$ \(y^2+xy+y=x^3+1034276x-10668871978\) 310.2.0.?
157170.bc1 157170.bc \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -6330744, 6130450666]$ \(y^2+xy+y=x^3-6330744x+6130450666\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 260.12.0.?, 780.24.0.?, $\ldots$
157170.bc2 157170.bc \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 1, -398844, 94149226]$ \(y^2+xy+y=x^3-398844x+94149226\) 2.6.0.a.1, 12.12.0-2.a.1.1, 260.12.0.?, 620.12.0.?, 780.24.0.?, $\ldots$
157170.bc3 157170.bc \( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -60844, -3735574]$ \(y^2+xy+y=x^3-60844x-3735574\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 520.12.0.?, 1240.12.0.?, $\ldots$
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