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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
28830.a1 28830.a \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $2$ $\Z/2\Z$ $5.319170684$ $[1, 1, 0, -5125513, 4464229117]$ \(y^2+xy=x^3+x^2-5125513x+4464229117\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ $[(1237, 3706), (253023/14, 929249/14)]$
28830.a2 28830.a \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $2$ $\Z/2\Z$ $21.27668273$ $[1, 1, 0, -435833, 14891373]$ \(y^2+xy=x^3+x^2-435833x+14891373\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ $[(-437, 11270), (-647, 5477)]$
28830.a3 28830.a \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $5.319170684$ $[1, 1, 0, -320513, 69576117]$ \(y^2+xy=x^3+x^2-320513x+69576117\) 2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 24.96.1.cp.2, $\ldots$ $[(346, 327), (314, -25)]$
28830.a4 28830.a \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $2$ $\Z/2\Z$ $21.27668273$ $[1, 1, 0, -277268, -56310078]$ \(y^2+xy=x^3+x^2-277268x-56310078\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ $[(1857, 75471), (-1217/2, 1411/2)]$
28830.a5 28830.a \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $2$ $\Z/2\Z$ $5.319170684$ $[1, 1, 0, -65848, 5574478]$ \(y^2+xy=x^3+x^2-65848x+5574478\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ $[(-3, 2404), (-189, 3458)]$
28830.a6 28830.a \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $5.319170684$ $[1, 1, 0, -17798, -835392]$ \(y^2+xy=x^3+x^2-17798x-835392\) 2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 24.96.1.cp.4, $\ldots$ $[(-91, 248), (-64, 248)]$
28830.a7 28830.a \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $2$ $\Z/2\Z$ $5.319170684$ $[1, 1, 0, -12993, 1860213]$ \(y^2+xy=x^3+x^2-12993x+1860213\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ $[(121, 1381), (143/2, 9467/2)]$
28830.a8 28830.a \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $2$ $\Z/2\Z$ $5.319170684$ $[1, 1, 0, 1422, -62748]$ \(y^2+xy=x^3+x^2+1422x-62748\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ $[(59, 451), (284, 4690)]$
28830.b1 28830.b \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $1$ $\mathsf{trivial}$ $1.528999045$ $[1, 1, 0, -123508, 51696712]$ \(y^2+xy=x^3+x^2-123508x+51696712\) 24.2.0.b.1 $[(639/2, 47411/2)]$
28830.c1 28830.c \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -7422303, -5598136647]$ \(y^2+xy=x^3+x^2-7422303x-5598136647\) 2.3.0.a.1, 60.6.0.e.1, 124.6.0.?, 1860.12.0.? $[ ]$
28830.c2 28830.c \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -6826483, -6867114083]$ \(y^2+xy=x^3+x^2-6826483x-6867114083\) 2.3.0.a.1, 60.6.0.e.1, 124.6.0.?, 930.6.0.?, 1860.12.0.? $[ ]$
28830.d1 28830.d \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $2$ $\mathsf{trivial}$ $1.520514132$ $[1, 1, 0, -438, 3468]$ \(y^2+xy=x^3+x^2-438x+3468\) 3.4.0.a.1, 24.8.0.d.1, 93.8.0.?, 744.16.0.? $[(-1, 63), (11, 6)]$
28830.d2 28830.d \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $2$ $\mathsf{trivial}$ $1.520514132$ $[1, 1, 0, 27, 27]$ \(y^2+xy=x^3+x^2+27x+27\) 3.4.0.a.1, 24.8.0.d.1, 93.8.0.?, 744.16.0.? $[(1, 7), (-1, 1)]$
28830.e1 28830.e \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -9995119328, -398572245715968]$ \(y^2+xy=x^3+x^2-9995119328x-398572245715968\) 3720.2.0.? $[ ]$
28830.f1 28830.f \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, 802, -6948]$ \(y^2+xy=x^3+x^2+802x-6948\) 3720.2.0.? $[ ]$
28830.g1 28830.g \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $1$ $\mathsf{trivial}$ $21.70682765$ $[1, 1, 0, 4047232, -914723328]$ \(y^2+xy=x^3+x^2+4047232x-914723328\) 24.2.0.b.1 $[(58052827591/2879, 14452639971114943/2879)]$
28830.h1 28830.h \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -1454493, 645489963]$ \(y^2+xy=x^3+x^2-1454493x+645489963\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.v.1, 120.24.0.?, $\ldots$ $[ ]$
28830.h2 28830.h \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 0, -253243, -36099287]$ \(y^2+xy=x^3+x^2-253243x-36099287\) 2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 120.24.0.?, 248.12.0.?, $\ldots$ $[ ]$
28830.h3 28830.h \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -234023, -43668123]$ \(y^2+xy=x^3+x^2-234023x-43668123\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.bb.1, 120.24.0.?, $\ldots$ $[ ]$
28830.h4 28830.h \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 640487, -232898633]$ \(y^2+xy=x^3+x^2+640487x-232898633\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.bb.1, 120.24.0.?, $\ldots$ $[ ]$
28830.i1 28830.i \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $1$ $\Z/2\Z$ $2.055069777$ $[1, 1, 0, -1934032, 361930576]$ \(y^2+xy=x^3+x^2-1934032x+361930576\) 2.3.0.a.1, 60.6.0.c.1, 124.6.0.?, 1860.12.0.? $[(1392, 18524)]$
28830.i2 28830.i \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $1$ $\Z/2\Z$ $4.110139555$ $[1, 1, 0, 449248, 44001024]$ \(y^2+xy=x^3+x^2+449248x+44001024\) 2.3.0.a.1, 30.6.0.a.1, 124.6.0.?, 1860.12.0.? $[(-32, 5456)]$
28830.j1 28830.j \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $1$ $\mathsf{trivial}$ $1.972911472$ $[1, 1, 0, -502142, 136775964]$ \(y^2+xy=x^3+x^2-502142x+136775964\) 3.4.0.a.1, 93.8.0.?, 120.8.0.?, 3720.16.0.? $[(-725/2, 119889/2)]$
28830.j2 28830.j \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $1$ $\mathsf{trivial}$ $0.657637157$ $[1, 1, 0, 2383, 655119]$ \(y^2+xy=x^3+x^2+2383x+655119\) 3.4.0.a.1, 93.8.0.?, 120.8.0.?, 3720.16.0.? $[(-65, 513)]$
28830.k1 28830.k \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $1$ $\Z/2\Z$ $53.13606190$ $[1, 1, 0, -209928067, -1170809725619]$ \(y^2+xy=x^3+x^2-209928067x-1170809725619\) 2.3.0.a.1, 40.6.0.b.1, 124.6.0.?, 1240.12.0.? $[(241680187488907569008395/3728046323, 33812196641281621406075576274302408/3728046323)]$
28830.k2 28830.k \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $1$ $\Z/2\Z$ $26.56803095$ $[1, 1, 0, -13115267, -18313331379]$ \(y^2+xy=x^3+x^2-13115267x-18313331379\) 2.3.0.a.1, 40.6.0.c.1, 62.6.0.b.1, 1240.12.0.? $[(43678827083990/70753, 256700695890307116917/70753)]$
28830.l1 28830.l \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $1$ $\mathsf{trivial}$ $2.852099093$ $[1, 0, 1, -195584, 37588046]$ \(y^2+xy+y=x^3-195584x+37588046\) 3720.2.0.? $[(1196, 38322)]$
28830.m1 28830.m \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $1$ $\mathsf{trivial}$ $0.620722723$ $[1, 0, 1, -129, -1748]$ \(y^2+xy+y=x^3-129x-1748\) 24.2.0.b.1 $[(26, 99)]$
28830.n1 28830.n \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $1$ $\Z/2\Z$ $0.211808362$ $[1, 0, 1, -7724, 187166]$ \(y^2+xy+y=x^3-7724x+187166\) 2.3.0.a.1, 60.6.0.e.1, 124.6.0.?, 1860.12.0.? $[(3, 403)]$
28830.n2 28830.n \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $1$ $\Z/2\Z$ $0.423616725$ $[1, 0, 1, -7104, 229822]$ \(y^2+xy+y=x^3-7104x+229822\) 2.3.0.a.1, 60.6.0.e.1, 124.6.0.?, 930.6.0.?, 1860.12.0.? $[(53, 27)]$
28830.o1 28830.o \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -421419, -108791474]$ \(y^2+xy+y=x^3-421419x-108791474\) 3.8.0-3.a.1.1, 24.16.0-24.d.1.7 $[ ]$
28830.o2 28830.o \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $0$ $\Z/3\Z$ $1$ $[1, 0, 1, 25446, -471398]$ \(y^2+xy+y=x^3+25446x-471398\) 3.8.0-3.a.1.2, 24.16.0-24.d.1.8 $[ ]$
28830.p1 28830.p \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $1$ $\Z/2\Z$ $7.646390557$ $[1, 0, 1, -6370009, -6188532988]$ \(y^2+xy+y=x^3-6370009x-6188532988\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.bb.1, 120.24.0.?, $\ldots$ $[(33355/2, 5738539/2)]$
28830.p2 28830.p \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.823195278$ $[1, 0, 1, -411809, -89719468]$ \(y^2+xy+y=x^3-411809x-89719468\) 2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.a.1, 120.24.0.?, 248.12.0.?, $\ldots$ $[(891, 15394)]$
28830.p3 28830.p \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $1$ $\Z/2\Z$ $1.911597639$ $[1, 0, 1, -104289, 11516116]$ \(y^2+xy+y=x^3-104289x+11516116\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.bb.1, 120.24.0.?, $\ldots$ $[(8171, 733962)]$
28830.p4 28830.p \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $1$ $\Z/2\Z$ $7.646390557$ $[1, 0, 1, 626071, -468753244]$ \(y^2+xy+y=x^3+626071x-468753244\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ $[(11373/4, 1149547/4)]$
28830.q1 28830.q \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $1$ $\mathsf{trivial}$ $1.915378561$ $[1, 0, 1, 4211, 31112]$ \(y^2+xy+y=x^3+4211x+31112\) 24.2.0.b.1 $[(139/2, 3607/2)]$
28830.r1 28830.r \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $1$ $\mathsf{trivial}$ $19.93219752$ $[1, 0, 1, 770221, 217002902]$ \(y^2+xy+y=x^3+770221x+217002902\) 3720.2.0.? $[(59719054634/5639, 16156190831223555/5639)]$
28830.s1 28830.s \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -45668, -3540832]$ \(y^2+xy+y=x^3-45668x-3540832\) 2.3.0.a.1, 40.6.0.b.1, 124.6.0.?, 1240.12.0.? $[ ]$
28830.s2 28830.s \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, 2382, -234992]$ \(y^2+xy+y=x^3+2382x-234992\) 2.3.0.a.1, 40.6.0.c.1, 62.6.0.b.1, 1240.12.0.? $[ ]$
28830.t1 28830.t \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -35982263, -77502645862]$ \(y^2+xy+y=x^3-35982263x-77502645862\) 2.3.0.a.1, 60.6.0.c.1, 124.6.0.?, 1860.12.0.? $[ ]$
28830.t2 28830.t \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, 2150217, -5371246694]$ \(y^2+xy+y=x^3+2150217x-5371246694\) 2.3.0.a.1, 30.6.0.a.1, 124.6.0.?, 1860.12.0.? $[ ]$
28830.u1 28830.u \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, 93677, -6049042]$ \(y^2+xy+y=x^3+93677x-6049042\) 3720.2.0.? $[ ]$
28830.v1 28830.v \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $1$ $\Z/2\Z$ $1.170738894$ $[1, 1, 1, -516, 2313]$ \(y^2+xy+y=x^3+x^2-516x+2313\) 2.3.0.a.1, 4.12.0.f.1, 120.24.0.?, 124.24.0.?, 3720.48.1.? $[(-3, 63)]$
28830.v2 28830.v \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $1$ $\Z/2\Z$ $0.585369447$ $[1, 1, 1, 104, 329]$ \(y^2+xy+y=x^3+x^2+104x+329\) 2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 60.12.0.bn.1, 62.6.0.b.1, $\ldots$ $[(-1, 15)]$
28830.w1 28830.w \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $2$ $\mathsf{trivial}$ $6.038229768$ $[1, 1, 1, -246036, -480200211]$ \(y^2+xy+y=x^3+x^2-246036x-480200211\) 7.16.0-7.a.1.1, 24.2.0.b.1, 168.32.0.?, 217.48.0.?, 5208.96.2.? $[(18039, 2412855), (175741/12, 54647815/12)]$
28830.w2 28830.w \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $2$ $\mathsf{trivial}$ $0.123229178$ $[1, 1, 1, -53836, 4820333]$ \(y^2+xy+y=x^3+x^2-53836x+4820333\) 7.16.0-7.a.1.2, 24.2.0.b.1, 168.32.0.?, 217.48.0.?, 5208.96.2.? $[(121, 249), (469/3, 38963/3)]$
28830.x1 28830.x \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, -3921861, -3073118517]$ \(y^2+xy+y=x^3+x^2-3921861x-3073118517\) 24.2.0.b.1 $[ ]$
28830.y1 28830.y \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $1$ $\Z/2\Z$ $5.649442785$ $[1, 1, 1, -6609096, -6542495607]$ \(y^2+xy+y=x^3+x^2-6609096x-6542495607\) 2.3.0.a.1, 4.12.0.f.1, 8.48.0.q.2, 124.24.0.?, 248.96.1.? $[(39523, 7820633)]$
28830.y2 28830.y \( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) $1$ $\Z/2\Z$ $2.824721392$ $[1, 1, 1, -409096, -104415607]$ \(y^2+xy+y=x^3+x^2-409096x-104415607\) 2.3.0.a.1, 4.12.0.f.1, 8.48.0.q.1, 62.6.0.b.1, 124.24.0.?, $\ldots$ $[(773, 6093)]$
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