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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
27930.a1 27930.a \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $1$ $\Z/2\Z$ $0.799762555$ $[1, 1, 0, -7088, 226752]$ \(y^2+xy=x^3+x^2-7088x+226752\) 2.3.0.a.1, 56.6.0.c.1, 120.6.0.?, 210.6.0.?, 840.12.0.?
27930.a2 27930.a \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $1$ $\Z/2\Z$ $0.399881277$ $[1, 1, 0, -6808, 245848]$ \(y^2+xy=x^3+x^2-6808x+245848\) 2.3.0.a.1, 56.6.0.b.1, 120.6.0.?, 420.6.0.?, 840.12.0.?
27930.b1 27930.b \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $1$ $\mathsf{trivial}$ $4.009000842$ $[1, 1, 0, -41038, 8994868]$ \(y^2+xy=x^3+x^2-41038x+8994868\) 1140.2.0.?
27930.c1 27930.c \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $1$ $\Z/2\Z$ $0.532400993$ $[1, 1, 0, -47408, 3952572]$ \(y^2+xy=x^3+x^2-47408x+3952572\) 2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 20.12.0.g.1, 28.12.0-4.c.1.1, $\ldots$
27930.c2 27930.c \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $1$ $\Z/2\Z$ $2.129603974$ $[1, 1, 0, -21928, -1224572]$ \(y^2+xy=x^3+x^2-21928x-1224572\) 2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0.z.1, 76.12.0.?, $\ldots$
27930.c3 27930.c \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.064801987$ $[1, 1, 0, -3308, 45312]$ \(y^2+xy=x^3+x^2-3308x+45312\) 2.6.0.a.1, 20.12.0.b.1, 28.12.0-2.a.1.1, 76.12.0.?, 140.24.0.?, $\ldots$
27930.c4 27930.c \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $1$ $\Z/2\Z$ $2.129603974$ $[1, 1, 0, 612, 5328]$ \(y^2+xy=x^3+x^2+612x+5328\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 56.12.0-4.c.1.5, 140.12.0.?, $\ldots$
27930.d1 27930.d \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -63333, -16574067]$ \(y^2+xy=x^3+x^2-63333x-16574067\) 5320.2.0.?
27930.e1 27930.e \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, 192, 18432]$ \(y^2+xy=x^3+x^2+192x+18432\) 15960.2.0.?
27930.f1 27930.f \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -366398, 82280052]$ \(y^2+xy=x^3+x^2-366398x+82280052\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 24.24.0.ca.1, $\ldots$
27930.f2 27930.f \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -54023, -4821123]$ \(y^2+xy=x^3+x^2-54023x-4821123\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 24.24.0.ca.1, $\ldots$
27930.f3 27930.f \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -1103, -174747]$ \(y^2+xy=x^3+x^2-1103x-174747\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 24.24.0.cd.1, $\ldots$
27930.f4 27930.f \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 9922, 4682868]$ \(y^2+xy=x^3+x^2+9922x+4682868\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 24.24.0.cd.1, $\ldots$
27930.g1 27930.g \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $1$ $\Z/2\Z$ $6.988533724$ $[1, 1, 0, -4357938, -3381051708]$ \(y^2+xy=x^3+x^2-4357938x-3381051708\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0-4.c.1.2, 76.12.0.?, $\ldots$
27930.g2 27930.g \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.494266862$ $[1, 1, 0, -708418, 158252788]$ \(y^2+xy=x^3+x^2-708418x+158252788\) 2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 76.12.0.?, 84.24.0.?, $\ldots$
27930.g3 27930.g \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $1$ $\Z/2\Z$ $1.747133431$ $[1, 1, 0, -645698, 199409652]$ \(y^2+xy=x^3+x^2-645698x+199409652\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 56.12.0-4.c.1.5, 84.12.0.?, $\ldots$
27930.g4 27930.g \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $1$ $\Z/2\Z$ $1.747133431$ $[1, 1, 0, 1937582, 1064772388]$ \(y^2+xy=x^3+x^2+1937582x+1064772388\) 2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 28.12.0-4.c.1.1, $\ldots$
27930.h1 27930.h \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -967138, -366487232]$ \(y^2+xy=x^3+x^2-967138x-366487232\) 2.3.0.a.1, 56.6.0.c.1, 120.6.0.?, 210.6.0.?, 840.12.0.?
27930.h2 27930.h \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -963708, -369211338]$ \(y^2+xy=x^3+x^2-963708x-369211338\) 2.3.0.a.1, 56.6.0.b.1, 120.6.0.?, 420.6.0.?, 840.12.0.?
27930.i1 27930.i \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -1842488, 602947668]$ \(y^2+xy=x^3+x^2-1842488x+602947668\) 2.3.0.a.1, 28.6.0.a.1, 228.6.0.?, 1596.12.0.?
27930.i2 27930.i \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 345012, 66135168]$ \(y^2+xy=x^3+x^2+345012x+66135168\) 2.3.0.a.1, 28.6.0.b.1, 228.6.0.?, 798.6.0.?, 1596.12.0.?
27930.j1 27930.j \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $1$ $\mathsf{trivial}$ $5.858100461$ $[1, 1, 0, -4908418, 4183715572]$ \(y^2+xy=x^3+x^2-4908418x+4183715572\) 15960.2.0.?
27930.k1 27930.k \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, 11098, -324204]$ \(y^2+xy=x^3+x^2+11098x-324204\) 2280.2.0.?
27930.l1 27930.l \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $1$ $\Z/2\Z$ $0.594918065$ $[1, 1, 0, -35452, 2548624]$ \(y^2+xy=x^3+x^2-35452x+2548624\) 2.3.0.a.1, 56.6.0.c.1, 114.6.0.?, 3192.12.0.?
27930.l2 27930.l \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $1$ $\Z/2\Z$ $0.297459032$ $[1, 1, 0, -21732, 4559976]$ \(y^2+xy=x^3+x^2-21732x+4559976\) 2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.?
27930.m1 27930.m \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $1$ $\Z/2\Z$ $2.032453219$ $[1, 1, 0, -179267, -29247231]$ \(y^2+xy=x^3+x^2-179267x-29247231\) 2.3.0.a.1, 28.6.0.a.1, 228.6.0.?, 1596.12.0.?
27930.m2 27930.m \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $1$ $\Z/2\Z$ $4.064906439$ $[1, 1, 0, -7767, -743931]$ \(y^2+xy=x^3+x^2-7767x-743931\) 2.3.0.a.1, 28.6.0.b.1, 228.6.0.?, 798.6.0.?, 1596.12.0.?
27930.n1 27930.n \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -60438732, 180825302736]$ \(y^2+xy=x^3+x^2-60438732x+180825302736\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0.v.1, 56.12.0-4.c.1.2, $\ldots$
27930.n2 27930.n \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -11454412, -11525685296]$ \(y^2+xy=x^3+x^2-11454412x-11525685296\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0.bb.1, 56.12.0-4.c.1.1, $\ldots$
27930.n3 27930.n \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 0, -3833932, 2735280976]$ \(y^2+xy=x^3+x^2-3833932x+2735280976\) 2.6.0.a.1, 24.12.0.b.1, 40.12.0.a.1, 56.12.0-2.a.1.1, 60.12.0.b.1, $\ldots$
27930.n4 27930.n \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 180148, 176706384]$ \(y^2+xy=x^3+x^2+180148x+176706384\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 30.6.0.a.1, 40.12.0.bb.1, $\ldots$
27930.o1 27930.o \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -150176842, 610515573046]$ \(y^2+xy=x^3+x^2-150176842x+610515573046\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 56.12.0-4.c.1.1, 84.12.0.?, $\ldots$
27930.o2 27930.o \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 0, -144342412, 667404766204]$ \(y^2+xy=x^3+x^2-144342412x+667404766204\) 2.6.0.a.1, 24.12.0.b.1, 56.12.0-2.a.1.1, 84.12.0.?, 152.12.0.?, $\ldots$
27930.o3 27930.o \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -144341432, 667414283376]$ \(y^2+xy=x^3+x^2-144341432x+667414283376\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 56.12.0-4.c.1.4, 84.12.0.?, $\ldots$
27930.o4 27930.o \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -138523662, 723684879954]$ \(y^2+xy=x^3+x^2-138523662x+723684879954\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 56.12.0-4.c.1.2, 152.12.0.?, $\ldots$
27930.p1 27930.p \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, 808, -10254]$ \(y^2+xy=x^3+x^2+808x-10254\) 2280.2.0.?
27930.q1 27930.q \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -2622, -384516]$ \(y^2+xy=x^3+x^2-2622x-384516\) 2280.2.0.?
27930.r1 27930.r \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $1$ $\mathsf{trivial}$ $2.079527769$ $[1, 1, 0, -519327, -253556001]$ \(y^2+xy=x^3+x^2-519327x-253556001\) 3.4.0.a.1, 21.8.0-3.a.1.1, 2280.8.0.?, 5320.2.0.?, 15960.16.0.?
27930.r2 27930.r \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $1$ $\mathsf{trivial}$ $0.693175923$ $[1, 1, 0, 4382388, 4758786936]$ \(y^2+xy=x^3+x^2+4382388x+4758786936\) 3.4.0.a.1, 21.8.0-3.a.1.2, 2280.8.0.?, 5320.2.0.?, 15960.16.0.?
27930.s1 27930.s \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $1$ $\mathsf{trivial}$ $0.553354052$ $[1, 1, 0, -793727, 271849341]$ \(y^2+xy=x^3+x^2-793727x+271849341\) 3.4.0.a.1, 21.8.0-3.a.1.2, 2280.8.0.?, 15960.16.0.?
27930.s2 27930.s \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $1$ $\mathsf{trivial}$ $1.660062157$ $[1, 1, 0, -6542, 622434]$ \(y^2+xy=x^3+x^2-6542x+622434\) 3.4.0.a.1, 21.8.0-3.a.1.1, 2280.8.0.?, 15960.16.0.?
27930.t1 27930.t \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -2622, -90516]$ \(y^2+xy=x^3+x^2-2622x-90516\) 15960.2.0.?
27930.u1 27930.u \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $1$ $\Z/2\Z$ $20.11541425$ $[1, 1, 0, -86934747, -312023929419]$ \(y^2+xy=x^3+x^2-86934747x-312023929419\) 2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 120.12.0.?, 280.12.0.?, $\ldots$
27930.u2 27930.u \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $1$ $\Z/2\Z$ $20.11541425$ $[1, 1, 0, -14614667, 15174054309]$ \(y^2+xy=x^3+x^2-14614667x+15174054309\) 2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 140.12.0.?, 168.12.0.?, $\ldots$
27930.u3 27930.u \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $10.05770712$ $[1, 1, 0, -5490867, -4768747731]$ \(y^2+xy=x^3+x^2-5490867x-4768747731\) 2.6.0.a.1, 60.12.0.b.1, 84.12.0.?, 140.12.0.?, 420.24.0.?, $\ldots$
27930.u4 27930.u \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $1$ $\Z/2\Z$ $20.11541425$ $[1, 1, 0, 169613, -277722899]$ \(y^2+xy=x^3+x^2+169613x-277722899\) 2.3.0.a.1, 4.6.0.c.1, 30.6.0.a.1, 60.12.0.g.1, 84.12.0.?, $\ldots$
27930.v1 27930.v \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -3476477, -2496371751]$ \(y^2+xy=x^3+x^2-3476477x-2496371751\) 2.3.0.a.1, 4.12.0-4.c.1.2, 168.24.0.?, 266.6.0.?, 456.24.0.?, $\ldots$
27930.v2 27930.v \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 0, -217977, -38811051]$ \(y^2+xy=x^3+x^2-217977x-38811051\) 2.6.0.a.1, 4.12.0-2.a.1.1, 84.24.0.?, 228.24.0.?, 532.24.0.?, $\ldots$
27930.v3 27930.v \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $0$ $\Z/4\Z$ $1$ $[1, 1, 0, -32757, -102415599]$ \(y^2+xy=x^3+x^2-32757x-102415599\) 2.3.0.a.1, 4.12.0-4.c.1.1, 84.24.0.?, 456.24.0.?, 1064.24.0.?, $\ldots$
27930.v4 27930.v \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -25897, 642181]$ \(y^2+xy=x^3+x^2-25897x+642181\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 84.12.0.?, 114.6.0.?, $\ldots$
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