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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
34650.a1 34650.a \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $2$ $\Z/2\Z$ $4.322649058$ $[1, -1, 0, -50967, 4439691]$ \(y^2+xy=x^3-x^2-50967x+4439691\) 2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 120.12.0.?, 140.12.0.?, $\ldots$ $[(163, 584), (139, 93)]$
34650.a2 34650.a \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $2$ $\Z/2\Z$ $4.322649058$ $[1, -1, 0, -28467, -1810809]$ \(y^2+xy=x^3-x^2-28467x-1810809\) 2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 120.12.0.?, 168.12.0.?, $\ldots$ $[(-87, 3), (-95, 219)]$
34650.a3 34650.a \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $1.080662264$ $[1, -1, 0, -3717, 45441]$ \(y^2+xy=x^3-x^2-3717x+45441\) 2.6.0.a.1, 88.12.0.?, 120.12.0.?, 140.12.0.?, 168.12.0.?, $\ldots$ $[(-12, 303), (4, 173)]$
34650.a4 34650.a \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $2$ $\Z/2\Z$ $1.080662264$ $[1, -1, 0, 783, 4941]$ \(y^2+xy=x^3-x^2+783x+4941\) 2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 120.12.0.?, 140.12.0.?, $\ldots$ $[(9, 108), (234, 3483)]$
34650.b1 34650.b \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $1$ $\mathsf{trivial}$ $7.641958658$ $[1, -1, 0, 48033, -3623859]$ \(y^2+xy=x^3-x^2+48033x-3623859\) 1848.2.0.? $[(1749/5, 29922/5)]$
34650.c1 34650.c \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $1$ $\mathsf{trivial}$ $21.84923617$ $[1, -1, 0, -7066242, -7231839084]$ \(y^2+xy=x^3-x^2-7066242x-7231839084\) 88.2.0.? $[(16997110497/2207, 1087673987905362/2207)]$
34650.d1 34650.d \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $1$ $\Z/2\Z$ $2.152352394$ $[1, -1, 0, -286917, -59079259]$ \(y^2+xy=x^3-x^2-286917x-59079259\) 2.3.0.a.1, 60.6.0.a.1, 924.6.0.?, 1540.6.0.?, 4620.12.0.? $[(-310, 199)]$
34650.d2 34650.d \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $1$ $\Z/2\Z$ $4.304704789$ $[1, -1, 0, -16917, -1029259]$ \(y^2+xy=x^3-x^2-16917x-1029259\) 2.3.0.a.1, 60.6.0.b.1, 462.6.0.?, 1540.6.0.?, 4620.12.0.? $[(218, 2259)]$
34650.e1 34650.e \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -11570742, 15152753916]$ \(y^2+xy=x^3-x^2-11570742x+15152753916\) 168.2.0.? $[ ]$
34650.f1 34650.f \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -2095542, 1155488116]$ \(y^2+xy=x^3-x^2-2095542x+1155488116\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 24.24.0.cc.1, $\ldots$ $[ ]$
34650.f2 34650.f \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -367542, 3002720116]$ \(y^2+xy=x^3-x^2-367542x+3002720116\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 24.24.0.cb.1, $\ldots$ $[ ]$
34650.f3 34650.f \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -202167, -34108259]$ \(y^2+xy=x^3-x^2-202167x-34108259\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 24.24.0.cc.1, $\ldots$ $[ ]$
34650.f4 34650.f \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 40833, -111139259]$ \(y^2+xy=x^3-x^2+40833x-111139259\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 24.24.0.cb.1, $\ldots$ $[ ]$
34650.g1 34650.g \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -747, -37499]$ \(y^2+xy=x^3-x^2-747x-37499\) 3.4.0.a.1, 15.8.0-3.a.1.1, 1848.8.0.?, 9240.16.0.? $[ ]$
34650.g2 34650.g \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 6678, 976756]$ \(y^2+xy=x^3-x^2+6678x+976756\) 3.4.0.a.1, 15.8.0-3.a.1.2, 1848.8.0.?, 9240.16.0.? $[ ]$
34650.h1 34650.h \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -2741292, -1738497384]$ \(y^2+xy=x^3-x^2-2741292x-1738497384\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.5, 88.12.0.?, $\ldots$ $[ ]$
34650.h2 34650.h \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -266292, 6377616]$ \(y^2+xy=x^3-x^2-266292x+6377616\) 2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.a.1, 88.12.0.?, 120.24.0.?, $\ldots$ $[ ]$
34650.h3 34650.h \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -194292, 32945616]$ \(y^2+xy=x^3-x^2-194292x+32945616\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.bb.1, 66.6.0.a.1, $\ldots$ $[ ]$
34650.h4 34650.h \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 1056708, 50036616]$ \(y^2+xy=x^3-x^2+1056708x+50036616\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.v.1, 88.12.0.?, $\ldots$ $[ ]$
34650.i1 34650.i \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $1$ $\mathsf{trivial}$ $1.053487703$ $[1, -1, 0, -1107, -17739]$ \(y^2+xy=x^3-x^2-1107x-17739\) 168.2.0.? $[(45, 126)]$
34650.j1 34650.j \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $2$ $\Z/2\Z$ $0.301974419$ $[1, -1, 0, -2952, 62356]$ \(y^2+xy=x^3-x^2-2952x+62356\) 2.3.0.a.1, 60.6.0.a.1, 924.6.0.?, 1540.6.0.?, 4620.12.0.? $[(38, 44), (29, 8)]$
34650.j2 34650.j \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $2$ $\Z/2\Z$ $1.207897679$ $[1, -1, 0, -252, 256]$ \(y^2+xy=x^3-x^2-252x+256\) 2.3.0.a.1, 60.6.0.b.1, 770.6.0.?, 924.6.0.?, 4620.12.0.? $[(-1, 23), (-7, 44)]$
34650.k1 34650.k \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $1$ $\mathsf{trivial}$ $4.515988373$ $[1, -1, 0, -20742, -1152334]$ \(y^2+xy=x^3-x^2-20742x-1152334\) 88.2.0.? $[(643, 15523)]$
34650.l1 34650.l \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 489258, -43411084]$ \(y^2+xy=x^3-x^2+489258x-43411084\) 168.2.0.? $[ ]$
34650.m1 34650.m \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $2$ $\Z/2\Z$ $3.080252924$ $[1, -1, 0, -1746942, -885429784]$ \(y^2+xy=x^3-x^2-1746942x-885429784\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 15.8.0-3.a.1.1, $\ldots$ $[(-761, 2068), (2614, 110068)]$
34650.m2 34650.m \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $2$ $\Z/2\Z$ $0.342250324$ $[1, -1, 0, -113442, 13781716]$ \(y^2+xy=x^3-x^2-113442x+13781716\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 15.8.0-3.a.1.2, $\ldots$ $[(249, 838), (524, 9638)]$
34650.m3 34650.m \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $2$ $\Z/2\Z$ $12.32101169$ $[1, -1, 0, -59442, -26492284]$ \(y^2+xy=x^3-x^2-59442x-26492284\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.2, 15.8.0-3.a.1.1, $\ldots$ $[(904, 25198), (1579, 60973)]$
34650.m4 34650.m \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $2$ $\Z/2\Z$ $1.369001299$ $[1, -1, 0, 6558, 941716]$ \(y^2+xy=x^3-x^2+6558x+941716\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 15.8.0-3.a.1.2, $\ldots$ $[(-51, 713), (59, 1208)]$
34650.n1 34650.n \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $1$ $\Z/2\Z$ $5.389230940$ $[1, -1, 0, -5730297417, 166961376217741]$ \(y^2+xy=x^3-x^2-5730297417x+166961376217741\) 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, $\ldots$ $[(58535, 5636156)]$
34650.n2 34650.n \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.694615470$ $[1, -1, 0, -363705417, 2523630745741]$ \(y^2+xy=x^3-x^2-363705417x+2523630745741\) 2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.6, 15.8.0-3.a.1.2, $\ldots$ $[(-4990, 2055359)]$
34650.n3 34650.n \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $1$ $\Z/2\Z$ $16.16769282$ $[1, -1, 0, -98499042, 33064007116]$ \(y^2+xy=x^3-x^2-98499042x+33064007116\) 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, $\ldots$ $[(259522411/27, 4175696570264/27)]$
34650.n4 34650.n \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $1$ $\Z/2\Z$ $5.389230940$ $[1, -1, 0, -68793417, -170980198259]$ \(y^2+xy=x^3-x^2-68793417x-170980198259\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.5, $\ldots$ $[(11699, 784913)]$
34650.n5 34650.n \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $8.083846410$ $[1, -1, 0, -64542042, -198760431884]$ \(y^2+xy=x^3-x^2-64542042x-198760431884\) 2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.6, 15.8.0-3.a.1.1, $\ldots$ $[(355979, 212158448)]$
34650.n6 34650.n \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $1$ $\Z/2\Z$ $16.16769282$ $[1, -1, 0, -64470042, -199227783884]$ \(y^2+xy=x^3-x^2-64470042x-199227783884\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.5, $\ldots$ $[(149834909/41, 1823290204153/41)]$
34650.n7 34650.n \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $1$ $\Z/2\Z$ $16.16769282$ $[1, -1, 0, -31737042, -400675206884]$ \(y^2+xy=x^3-x^2-31737042x-400675206884\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.3, $\ldots$ $[(342078323/31, 6320732168744/31)]$
34650.n8 34650.n \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $1$ $\Z/2\Z$ $5.389230940$ $[1, -1, 0, 284294583, 10537446745741]$ \(y^2+xy=x^3-x^2+284294583x+10537446745741\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.3, $\ldots$ $[(4385, 3442859)]$
34650.o1 34650.o \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $1$ $\Z/2\Z$ $2.647939832$ $[1, -1, 0, -3520917, -1961413259]$ \(y^2+xy=x^3-x^2-3520917x-1961413259\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$ $[(-751, 16463)]$
34650.o2 34650.o \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $1$ $\Z/2\Z$ $7.943819498$ $[1, -1, 0, -3292542, -2298738884]$ \(y^2+xy=x^3-x^2-3292542x-2298738884\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$ $[(22081/3, 1755191/3)]$
34650.o3 34650.o \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $1$ $\Z/2\Z$ $3.971909749$ $[1, -1, 0, -205542, -35967884]$ \(y^2+xy=x^3-x^2-205542x-35967884\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$ $[(929, 23498)]$
34650.o4 34650.o \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $1$ $\Z/2\Z$ $1.323969916$ $[1, -1, 0, 511083, -191365259]$ \(y^2+xy=x^3-x^2+511083x-191365259\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$ $[(359, 6008)]$
34650.p1 34650.p \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $1$ $\Z/2\Z$ $1.107359325$ $[1, -1, 0, -16542, 822366]$ \(y^2+xy=x^3-x^2-16542x+822366\) 2.3.0.a.1, 56.6.0.a.1, 220.6.0.?, 3080.12.0.? $[(79, 23)]$
34650.p2 34650.p \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $1$ $\Z/2\Z$ $0.553679662$ $[1, -1, 0, -792, 19116]$ \(y^2+xy=x^3-x^2-792x+19116\) 2.3.0.a.1, 56.6.0.d.1, 110.6.0.?, 3080.12.0.? $[(9, 108)]$
34650.q1 34650.q \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $1$ $\Z/2\Z$ $2.881376778$ $[1, -1, 0, -57696192, -158249839784]$ \(y^2+xy=x^3-x^2-57696192x-158249839784\) 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, $\ldots$ $[(-4491, 103583)]$
34650.q2 34650.q \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $1$ $\Z/2\Z$ $8.644130334$ $[1, -1, 0, -56700567, -164320502909]$ \(y^2+xy=x^3-x^2-56700567x-164320502909\) 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, $\ldots$ $[(12683, 1069109)]$
34650.q3 34650.q \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.440688389$ $[1, -1, 0, -11391192, 11828425216]$ \(y^2+xy=x^3-x^2-11391192x+11828425216\) 2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 15.8.0-3.a.1.2, 24.48.0.o.1, $\ldots$ $[(909, 46708)]$
34650.q4 34650.q \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $1$ $\Z/2\Z$ $0.720344194$ $[1, -1, 0, -10743192, 13555345216]$ \(y^2+xy=x^3-x^2-10743192x+13555345216\) 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, $\ldots$ $[(2864, 77768)]$
34650.q5 34650.q \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.322065167$ $[1, -1, 0, -3544317, -2566034159]$ \(y^2+xy=x^3-x^2-3544317x-2566034159\) 2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 15.8.0-3.a.1.1, 24.48.0.o.2, $\ldots$ $[(3308, 146333)]$
34650.q6 34650.q \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $1$ $\Z/2\Z$ $8.644130334$ $[1, -1, 0, -2876067, -3563731409]$ \(y^2+xy=x^3-x^2-2876067x-3563731409\) 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, $\ldots$ $[(29497/3, 3979316/3)]$
34650.q7 34650.q \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $1$ $\Z/2\Z$ $2.161032583$ $[1, -1, 0, -263817, -23646659]$ \(y^2+xy=x^3-x^2-263817x-23646659\) 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, $\ldots$ $[(614, 6443)]$
34650.q8 34650.q \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) $1$ $\Z/2\Z$ $2.881376778$ $[1, -1, 0, 24545808, 71376034216]$ \(y^2+xy=x^3-x^2+24545808x+71376034216\) 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, $\ldots$ $[(-961, 217043)]$
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