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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
47190.a1 47190.a \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.778764722$ $[1, 1, 0, -5568, 140958]$ \(y^2+xy=x^3+x^2-5568x+140958\) 2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?
47190.a2 47190.a \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $0.889382361$ $[1, 1, 0, 482, 11488]$ \(y^2+xy=x^3+x^2+482x+11488\) 2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.?
47190.b1 47190.b \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $15.22631943$ $[1, 1, 0, -1952061663, 33195389531517]$ \(y^2+xy=x^3+x^2-1952061663x+33195389531517\) 2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?
47190.b2 47190.b \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $7.613159718$ $[1, 1, 0, -121936663, 519239706517]$ \(y^2+xy=x^3+x^2-121936663x+519239706517\) 2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.?
47190.c1 47190.c \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, 8347, -3444393]$ \(y^2+xy=x^3+x^2+8347x-3444393\) 17160.2.0.?
47190.d1 47190.d \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -1333, 165037]$ \(y^2+xy=x^3+x^2-1333x+165037\) 312.2.0.?
47190.e1 47190.e \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -551278, -157276412]$ \(y^2+xy=x^3+x^2-551278x-157276412\) 2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.?
47190.e2 47190.e \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -18878, -4690572]$ \(y^2+xy=x^3+x^2-18878x-4690572\) 2.3.0.a.1, 78.6.0.?, 220.6.0.?, 8580.12.0.?
47190.f1 47190.f \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -3548448, 2571320052]$ \(y^2+xy=x^3+x^2-3548448x+2571320052\) 2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.?
47190.f2 47190.f \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -220948, 40423552]$ \(y^2+xy=x^3+x^2-220948x+40423552\) 2.3.0.a.1, 78.6.0.?, 220.6.0.?, 8580.12.0.?
47190.g1 47190.g \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $0.634690701$ $[1, 1, 0, -7383, 385983]$ \(y^2+xy=x^3+x^2-7383x+385983\) 520.2.0.?
47190.h1 47190.h \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $6.001990672$ $[1, 1, 0, -738828, -244742472]$ \(y^2+xy=x^3+x^2-738828x-244742472\) 2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.1, 88.12.0.?, 120.12.0.?, $\ldots$
47190.h2 47190.h \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.000995336$ $[1, 1, 0, -46708, -3746288]$ \(y^2+xy=x^3+x^2-46708x-3746288\) 2.6.0.a.1, 52.12.0-2.a.1.1, 88.12.0.?, 120.12.0.?, 660.12.0.?, $\ldots$
47190.h3 47190.h \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $6.001990672$ $[1, 1, 0, -7988, 195408]$ \(y^2+xy=x^3+x^2-7988x+195408\) 2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.2, 88.12.0.?, 120.12.0.?, $\ldots$
47190.h4 47190.h \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $6.001990672$ $[1, 1, 0, 25892, -14244248]$ \(y^2+xy=x^3+x^2+25892x-14244248\) 2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 104.12.0.?, 120.12.0.?, $\ldots$
47190.i1 47190.i \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $59.62524179$ $[1, 1, 0, -2642036004907, -1652937758403399299]$ \(y^2+xy=x^3+x^2-2642036004907x-1652937758403399299\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 88.12.0.?, 312.12.0.?, $\ldots$
47190.i2 47190.i \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $59.62524179$ $[1, 1, 0, -166298564907, -25442206797607299]$ \(y^2+xy=x^3+x^2-166298564907x-25442206797607299\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.v.1, 44.12.0-4.c.1.1, 312.12.0.?, $\ldots$
47190.i3 47190.i \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $29.81262089$ $[1, 1, 0, -165127284907, -25827192712503299]$ \(y^2+xy=x^3+x^2-165127284907x-25827192712503299\) 2.6.0.a.1, 40.12.0.a.1, 44.12.0-2.a.1.1, 156.12.0.?, 440.24.0.?, $\ldots$
47190.i4 47190.i \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $14.90631044$ $[1, 1, 0, -10247284907, -409557128503299]$ \(y^2+xy=x^3+x^2-10247284907x-409557128503299\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 44.12.0-4.c.1.2, 78.6.0.?, $\ldots$
47190.j1 47190.j \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $0.537646699$ $[1, 1, 0, -2, 114]$ \(y^2+xy=x^3+x^2-2x+114\) 1560.2.0.?
47190.k1 47190.k \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $2.436671612$ $[1, 1, 0, -442862, 163578804]$ \(y^2+xy=x^3+x^2-442862x+163578804\) 17160.2.0.?
47190.l1 47190.l \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $4.201240575$ $[1, 1, 0, -14632, -687386]$ \(y^2+xy=x^3+x^2-14632x-687386\) 312.2.0.?
47190.m1 47190.m \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $2.766532506$ $[1, 1, 0, 12953653, 11216142909]$ \(y^2+xy=x^3+x^2+12953653x+11216142909\) 1560.2.0.?
47190.n1 47190.n \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $3.621370749$ $[1, 1, 0, -1090817, 438052179]$ \(y^2+xy=x^3+x^2-1090817x+438052179\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 40.24.0.bp.1, 44.12.0-4.c.1.1, $\ldots$
47190.n2 47190.n \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.810685374$ $[1, 1, 0, -102247, -12616919]$ \(y^2+xy=x^3+x^2-102247x-12616919\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.by.1, 44.12.0-4.c.1.2, $\ldots$
47190.n3 47190.n \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.810685374$ $[1, 1, 0, -68367, 6782769]$ \(y^2+xy=x^3+x^2-68367x+6782769\) 2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.2, 40.24.0.e.1, 44.24.0-4.b.1.1, $\ldots$
47190.n4 47190.n \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $3.621370749$ $[1, 1, 0, -13917, 17356959]$ \(y^2+xy=x^3+x^2-13917x+17356959\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.by.2, 40.24.0.bl.1, $\ldots$
47190.n5 47190.n \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.905342687$ $[1, 1, 0, -7867, -102131]$ \(y^2+xy=x^3+x^2-7867x-102131\) 2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.1, 40.24.0.l.1, 44.24.0-4.b.1.3, $\ldots$
47190.n6 47190.n \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.810685374$ $[1, 1, 0, 1813, -11139]$ \(y^2+xy=x^3+x^2+1813x-11139\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 44.12.0-4.c.1.2, 48.24.0.f.1, $\ldots$
47190.o1 47190.o \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $0.900289768$ $[1, 1, 0, -1267, -14681]$ \(y^2+xy=x^3+x^2-1267x-14681\) 2.3.0.a.1, 220.6.0.?, 520.6.0.?, 1144.6.0.?, 5720.12.0.?
47190.o2 47190.o \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $0.450144884$ $[1, 1, 0, 163, -1239]$ \(y^2+xy=x^3+x^2+163x-1239\) 2.3.0.a.1, 110.6.0.?, 520.6.0.?, 1144.6.0.?, 5720.12.0.?
47190.p1 47190.p \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $6.508333722$ $[1, 1, 0, -6944797, -7479615491]$ \(y^2+xy=x^3+x^2-6944797x-7479615491\) 520.2.0.?
47190.q1 47190.q \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $0.716621737$ $[1, 1, 0, -2, 6516]$ \(y^2+xy=x^3+x^2-2x+6516\) 520.2.0.?
47190.r1 47190.r \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $5.747807116$ $[1, 1, 0, -784687, 267194371]$ \(y^2+xy=x^3+x^2-784687x+267194371\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.v.1, 44.12.0-4.c.1.1, 312.12.0.?, $\ldots$
47190.r2 47190.r \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $5.747807116$ $[1, 1, 0, -288587, -56846049]$ \(y^2+xy=x^3+x^2-288587x-56846049\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 88.12.0.?, 312.12.0.?, $\ldots$
47190.r3 47190.r \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.873903558$ $[1, 1, 0, -52637, 3509961]$ \(y^2+xy=x^3+x^2-52637x+3509961\) 2.6.0.a.1, 40.12.0.a.1, 44.12.0-2.a.1.1, 156.12.0.?, 440.24.0.?, $\ldots$
47190.r4 47190.r \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.436951779$ $[1, 1, 0, 7863, 351861]$ \(y^2+xy=x^3+x^2+7863x+351861\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 44.12.0-4.c.1.2, 78.6.0.?, $\ldots$
47190.s1 47190.s \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $15.84511681$ $[1, 1, 0, 18696918, -27118513836]$ \(y^2+xy=x^3+x^2+18696918x-27118513836\) 312.2.0.?
47190.t1 47190.t \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -347129764, -2498968244038]$ \(y^2+xy+y=x^3-347129764x-2498968244038\) 3.8.0-3.a.1.1, 312.16.0.?
47190.t2 47190.t \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $0$ $\Z/3\Z$ $1$ $[1, 0, 1, 10263701, -18127813684]$ \(y^2+xy+y=x^3+10263701x-18127813684\) 3.8.0-3.a.1.2, 312.16.0.?
47190.u1 47190.u \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $2.318645389$ $[1, 0, 1, -729, -8714]$ \(y^2+xy+y=x^3-729x-8714\) 17160.2.0.?
47190.v1 47190.v \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $2.810790967$ $[1, 0, 1, 166746, -13067144]$ \(y^2+xy+y=x^3+166746x-13067144\) 17160.2.0.?
47190.w1 47190.w \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $5.285549054$ $[1, 0, 1, -144719, 20099792]$ \(y^2+xy+y=x^3-144719x+20099792\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 40.6.0.b.1, $\ldots$
47190.w2 47190.w \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.761849684$ $[1, 0, 1, -24929, -1510324]$ \(y^2+xy+y=x^3-24929x-1510324\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.2, 40.6.0.b.1, $\ldots$
47190.w3 47190.w \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $0.880924842$ $[1, 0, 1, -729, -48644]$ \(y^2+xy+y=x^3-729x-48644\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.2, 40.6.0.c.1, $\ldots$
47190.w4 47190.w \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $2.642774527$ $[1, 0, 1, 6531, 1284292]$ \(y^2+xy+y=x^3+6531x+1284292\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 40.6.0.c.1, $\ldots$
47190.x1 47190.x \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $32.43666978$ $[1, 0, 1, -69369, -7038308]$ \(y^2+xy+y=x^3-69369x-7038308\) 1560.2.0.?
47190.y1 47190.y \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $2.833511376$ $[1, 0, 1, -19411549, 32915975816]$ \(y^2+xy+y=x^3-19411549x+32915975816\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 44.12.0-4.c.1.1, 104.12.0.?, $\ldots$
47190.y2 47190.y \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $11.33404550$ $[1, 0, 1, -5414269, -4384324408]$ \(y^2+xy+y=x^3-5414269x-4384324408\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 52.12.0-4.c.1.1, 88.12.0.?, $\ldots$
47190.y3 47190.y \( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $5.667022753$ $[1, 0, 1, -1261549, 471035816]$ \(y^2+xy+y=x^3-1261549x+471035816\) 2.6.0.a.1, 12.12.0.a.1, 44.12.0-2.a.1.1, 52.12.0-2.a.1.1, 132.24.0.?, $\ldots$
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