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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
4290.a1 4290.a \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $2.907810691$ $[1, 1, 0, -838948, -296117492]$ \(y^2+xy=x^3+x^2-838948x-296117492\) 2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.16, 26.6.0.b.1, 52.24.0-52.g.1.1, $\ldots$
4290.a2 4290.a \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/4\Z$ $0.726952672$ $[1, 1, 0, -65948, -2083692]$ \(y^2+xy=x^3+x^2-65948x-2083692\) 2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 104.24.0.?, 312.48.0.?
4290.a3 4290.a \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.453905345$ $[1, 1, 0, -52448, -4640592]$ \(y^2+xy=x^3+x^2-52448x-4640592\) 2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.1, 52.24.0-52.b.1.2, 156.48.0.?
4290.a4 4290.a \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $2.907810691$ $[1, 1, 0, -2448, -110592]$ \(y^2+xy=x^3+x^2-2448x-110592\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.4, $\ldots$
4290.b1 4290.b \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -363457088, 2666878113792]$ \(y^2+xy=x^3+x^2-363457088x+2666878113792\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 44.12.0-4.c.1.1, $\ldots$
4290.b2 4290.b \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 0, -22721088, 41643528192]$ \(y^2+xy=x^3+x^2-22721088x+41643528192\) 2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.3, 44.12.0-2.a.1.1, $\ldots$
4290.b3 4290.b \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -17529408, 61186050048]$ \(y^2+xy=x^3+x^2-17529408x+61186050048\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$
4290.b4 4290.b \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -1749568, 325439488]$ \(y^2+xy=x^3+x^2-1749568x+325439488\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.2, $\ldots$
4290.c1 4290.c \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $1.397815805$ $[1, 1, 0, -1877518, -990978668]$ \(y^2+xy=x^3+x^2-1877518x-990978668\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.1, 52.12.0-4.c.1.1, $\ldots$
4290.c2 4290.c \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $1.397815805$ $[1, 1, 0, -410318, 84102612]$ \(y^2+xy=x^3+x^2-410318x+84102612\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.2, 104.12.0.?, $\ldots$
4290.c3 4290.c \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.698907902$ $[1, 1, 0, -119918, -14807628]$ \(y^2+xy=x^3+x^2-119918x-14807628\) 2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.1, 52.12.0-2.a.1.1, 120.24.0.?, $\ldots$
4290.c4 4290.c \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $1.397815805$ $[1, 1, 0, 8082, -1060428]$ \(y^2+xy=x^3+x^2+8082x-1060428\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.4, 52.12.0-4.c.1.2, $\ldots$
4290.d1 4290.d \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -38148, -2883798]$ \(y^2+xy=x^3+x^2-38148x-2883798\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 52.12.0-4.c.1.1, 88.12.0.?, $\ldots$
4290.d2 4290.d \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -5368, 84838]$ \(y^2+xy=x^3+x^2-5368x+84838\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 104.12.0.?, $\ldots$
4290.d3 4290.d \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 0, -2398, -45248]$ \(y^2+xy=x^3+x^2-2398x-45248\) 2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0-2.a.1.1, 88.12.0.?, 156.24.0.?, $\ldots$
4290.d4 4290.d \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 22, -2172]$ \(y^2+xy=x^3+x^2+22x-2172\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 52.12.0-4.c.1.2, 78.6.0.?, $\ldots$
4290.e1 4290.e \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, 52, -72]$ \(y^2+xy=x^3+x^2+52x-72\) 17160.2.0.?
4290.f1 4290.f \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -775522, 262503874]$ \(y^2+xy=x^3+x^2-775522x+262503874\) 2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?
4290.f2 4290.f \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -43472, 4968684]$ \(y^2+xy=x^3+x^2-43472x+4968684\) 2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.?
4290.g1 4290.g \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -56162, -5146326]$ \(y^2+xy=x^3+x^2-56162x-5146326\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 88.12.0.?, 104.12.0.?, $\ldots$
4290.g2 4290.g \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -4942, -10754]$ \(y^2+xy=x^3+x^2-4942x-10754\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 44.12.0-4.c.1.1, 104.12.0.?, $\ldots$
4290.g3 4290.g \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 0, -3512, -81396]$ \(y^2+xy=x^3+x^2-3512x-81396\) 2.6.0.a.1, 20.12.0-2.a.1.1, 44.12.0-2.a.1.1, 104.12.0.?, 220.24.0.?, $\ldots$
4290.g4 4290.g \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -132, -2304]$ \(y^2+xy=x^3+x^2-132x-2304\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 44.12.0-4.c.1.2, 104.12.0.?, $\ldots$
4290.h1 4290.h \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $6.278263713$ $[1, 1, 0, -312912, -20145024]$ \(y^2+xy=x^3+x^2-312912x-20145024\) 2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?
4290.h2 4290.h \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $3.139131856$ $[1, 1, 0, 74288, -2411264]$ \(y^2+xy=x^3+x^2+74288x-2411264\) 2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.?
4290.i1 4290.i \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, 522483, -69794979]$ \(y^2+xy=x^3+x^2+522483x-69794979\) 17160.2.0.?
4290.j1 4290.j \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -552039, -157917614]$ \(y^2+xy+y=x^3-552039x-157917614\) 3.8.0-3.a.1.1, 17160.16.0.?
4290.j2 4290.j \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/3\Z$ $1$ $[1, 0, 1, -4074, -392378]$ \(y^2+xy+y=x^3-4074x-392378\) 3.8.0-3.a.1.2, 17160.16.0.?
4290.k1 4290.k \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $1.110547189$ $[1, 0, 1, -26404, 1649156]$ \(y^2+xy+y=x^3-26404x+1649156\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 44.12.0-4.c.1.1, 88.24.0.?, $\ldots$
4290.k2 4290.k \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $1.110547189$ $[1, 0, 1, -2824, -15628]$ \(y^2+xy+y=x^3-2824x-15628\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 52.12.0-4.c.1.1, 88.24.0.?, $\ldots$
4290.k3 4290.k \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.555273594$ $[1, 0, 1, -1654, 25556]$ \(y^2+xy+y=x^3-1654x+25556\) 2.6.0.a.1, 8.12.0-2.a.1.1, 44.12.0-2.a.1.1, 52.12.0-2.a.1.1, 88.24.0.?, $\ldots$
4290.k4 4290.k \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.277636797$ $[1, 0, 1, -34, 932]$ \(y^2+xy+y=x^3-34x+932\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 44.12.0-4.c.1.2, 52.12.0-4.c.1.2, $\ldots$
4290.l1 4290.l \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, 9976, -318634]$ \(y^2+xy+y=x^3+9976x-318634\) 17160.2.0.?
4290.m1 4290.m \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.227579835$ $[1, 0, 1, -2868, 58756]$ \(y^2+xy+y=x^3-2868x+58756\) 2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?
4290.m2 4290.m \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.113789917$ $[1, 0, 1, -118, 1556]$ \(y^2+xy+y=x^3-118x+1556\) 2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?
4290.n1 4290.n \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -16658, -828892]$ \(y^2+xy+y=x^3-16658x-828892\) 3.8.0-3.a.1.1, 17160.16.0.?
4290.n2 4290.n \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/3\Z$ $1$ $[1, 0, 1, -83, -2482]$ \(y^2+xy+y=x^3-83x-2482\) 3.8.0-3.a.1.2, 17160.16.0.?
4290.o1 4290.o \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.300031079$ $[1, 0, 1, -11668, 484058]$ \(y^2+xy+y=x^3-11668x+484058\) 2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?
4290.o2 4290.o \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.150015539$ $[1, 0, 1, -668, 8858]$ \(y^2+xy+y=x^3-668x+8858\) 2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?
4290.p1 4290.p \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -2271573, -1317954464]$ \(y^2+xy+y=x^3-2271573x-1317954464\) 2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 156.48.0.?, 220.6.0.?, $\ldots$
4290.p2 4290.p \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -141973, -20602144]$ \(y^2+xy+y=x^3-141973x-20602144\) 2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 78.48.0.?, 220.6.0.?, $\ldots$
4290.p3 4290.p \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/6\Z$ $1$ $[1, 0, 1, -28098, -1802744]$ \(y^2+xy+y=x^3-28098x-1802744\) 2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 156.48.0.?, 220.6.0.?, $\ldots$
4290.p4 4290.p \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/6\Z$ $1$ $[1, 0, 1, -598, -64744]$ \(y^2+xy+y=x^3-598x-64744\) 2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 78.48.0.?, 220.6.0.?, $\ldots$
4290.q1 4290.q \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.776634431$ $[1, 1, 1, -6106, 181103]$ \(y^2+xy+y=x^3+x^2-6106x+181103\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 120.24.0.?, 572.12.0.?, $\ldots$
4290.q2 4290.q \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.388317215$ $[1, 1, 1, -386, 2639]$ \(y^2+xy+y=x^3+x^2-386x+2639\) 2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0-2.a.1.1, 120.24.0.?, 572.12.0.?, $\ldots$
4290.q3 4290.q \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.776634431$ $[1, 1, 1, -66, -177]$ \(y^2+xy+y=x^3+x^2-66x-177\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$
4290.q4 4290.q \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.776634431$ $[1, 1, 1, 214, 10799]$ \(y^2+xy+y=x^3+x^2+214x+10799\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$
4290.r1 4290.r \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $5.694364180$ $[1, 1, 1, -29326, -1945201]$ \(y^2+xy+y=x^3+x^2-29326x-1945201\) 2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.?
4290.r2 4290.r \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $2.847182090$ $[1, 1, 1, -1826, -31201]$ \(y^2+xy+y=x^3+x^2-1826x-31201\) 2.3.0.a.1, 78.6.0.?, 220.6.0.?, 8580.12.0.?
4290.s1 4290.s \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.300896246$ $[1, 1, 1, -4556, 116093]$ \(y^2+xy+y=x^3+x^2-4556x+116093\) 2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.?
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