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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
35550.a1 35550.a \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $1$ $\Z/2\Z$ $5.363396806$ $[1, -1, 0, -232980477, 1368818573381]$ \(y^2+xy=x^3-x^2-232980477x+1368818573381\) 2.3.0.a.1, 60.6.0.c.1, 316.6.0.?, 2370.6.0.?, 4740.12.0.? $[(7159, 256768)]$
35550.a2 35550.a \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $1$ $\Z/2\Z$ $2.681698403$ $[1, -1, 0, -14561277, 21390528581]$ \(y^2+xy=x^3-x^2-14561277x+21390528581\) 2.3.0.a.1, 30.6.0.a.1, 316.6.0.?, 4740.12.0.? $[(2209, -632)]$
35550.b1 35550.b \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -342, -2484]$ \(y^2+xy=x^3-x^2-342x-2484\) 3.8.0-3.a.1.1, 632.2.0.?, 1896.16.0.? $[ ]$
35550.b2 35550.b \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $0$ $\Z/3\Z$ $1$ $[1, -1, 0, 1908, -3834]$ \(y^2+xy=x^3-x^2+1908x-3834\) 3.8.0-3.a.1.2, 632.2.0.?, 1896.16.0.? $[ ]$
35550.c1 35550.c \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 4383, 701541]$ \(y^2+xy=x^3-x^2+4383x+701541\) 9480.2.0.? $[ ]$
35550.d1 35550.d \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $1.585904018$ $[1, -1, 0, -28242, 888916]$ \(y^2+xy=x^3-x^2-28242x+888916\) 474.2.0.? $[(20, 566)]$
35550.e1 35550.e \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -7658133417, -257939169838259]$ \(y^2+xy=x^3-x^2-7658133417x-257939169838259\) 2.3.0.a.1, 40.6.0.b.1, 316.6.0.?, 3160.12.0.? $[ ]$
35550.e2 35550.e \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -458133417, -4391169838259]$ \(y^2+xy=x^3-x^2-458133417x-4391169838259\) 2.3.0.a.1, 40.6.0.c.1, 158.6.0.?, 3160.12.0.? $[ ]$
35550.f1 35550.f \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -40106367, 97721774541]$ \(y^2+xy=x^3-x^2-40106367x+97721774541\) 5.12.0.a.2, 15.24.0-5.a.2.1, 474.2.0.?, 790.24.0.?, 2370.48.1.? $[ ]$
35550.f2 35550.f \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -1476927, -689855859]$ \(y^2+xy=x^3-x^2-1476927x-689855859\) 5.12.0.a.1, 15.24.0-5.a.1.1, 474.2.0.?, 790.24.0.?, 2370.48.1.? $[ ]$
35550.g1 35550.g \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $0.185596851$ $[1, -1, 0, -10242, 394416]$ \(y^2+xy=x^3-x^2-10242x+394416\) 474.2.0.? $[(-6, 678)]$
35550.h1 35550.h \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $2$ $\mathsf{trivial}$ $0.179534063$ $[1, -1, 0, -567, 4941]$ \(y^2+xy=x^3-x^2-567x+4941\) 474.2.0.? $[(9, 18), (-6, 93)]$
35550.i1 35550.i \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $1.805672021$ $[1, -1, 0, -596547, 177492181]$ \(y^2+xy=x^3-x^2-596547x+177492181\) 3.4.0.a.1, 15.8.0-3.a.1.2, 474.8.0.?, 2370.16.0.? $[(198, 8093)]$
35550.i2 35550.i \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $0.601890673$ $[1, -1, 0, -9972, 58576]$ \(y^2+xy=x^3-x^2-9972x+58576\) 3.4.0.a.1, 15.8.0-3.a.1.1, 474.8.0.?, 2370.16.0.? $[(-72, 668)]$
35550.j1 35550.j \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $1.410100883$ $[1, -1, 0, -247167, 47395341]$ \(y^2+xy=x^3-x^2-247167x+47395341\) 8.2.0.a.1 $[(289, 53)]$
35550.k1 35550.k \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $2$ $\mathsf{trivial}$ $0.357739969$ $[1, -1, 0, -792, 11866]$ \(y^2+xy=x^3-x^2-792x+11866\) 9480.2.0.? $[(29, 98), (71/2, 379/2)]$
35550.l1 35550.l \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $3.576627902$ $[1, -1, 0, -5037, -137179]$ \(y^2+xy=x^3-x^2-5037x-137179\) 9480.2.0.? $[(145, 1399)]$
35550.m1 35550.m \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -44667, -3548259]$ \(y^2+xy=x^3-x^2-44667x-3548259\) 2.3.0.a.1, 40.6.0.b.1, 316.6.0.?, 3160.12.0.? $[ ]$
35550.m2 35550.m \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 333, -173259]$ \(y^2+xy=x^3-x^2+333x-173259\) 2.3.0.a.1, 40.6.0.c.1, 158.6.0.?, 3160.12.0.? $[ ]$
35550.n1 35550.n \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $2$ $\mathsf{trivial}$ $0.596828831$ $[1, -1, 0, -1542, 24116]$ \(y^2+xy=x^3-x^2-1542x+24116\) 948.2.0.? $[(44, 178), (19, 28)]$
35550.o1 35550.o \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 11433, -62659]$ \(y^2+xy=x^3-x^2+11433x-62659\) 9480.2.0.? $[ ]$
35550.p1 35550.p \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -138417, 19855241]$ \(y^2+xy=x^3-x^2-138417x+19855241\) 2.3.0.a.1, 24.6.0.c.1, 2370.6.0.?, 3160.6.0.?, 9480.12.0.? $[ ]$
35550.p2 35550.p \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -131667, 21873491]$ \(y^2+xy=x^3-x^2-131667x+21873491\) 2.3.0.a.1, 24.6.0.b.1, 3160.6.0.?, 4740.6.0.?, 9480.12.0.? $[ ]$
35550.q1 35550.q \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $0.645823097$ $[1, -1, 0, -26667, -47419259]$ \(y^2+xy=x^3-x^2-26667x-47419259\) 3.4.0.a.1, 15.8.0-3.a.1.1, 948.8.0.?, 4740.16.0.? $[(710, 16709)]$
35550.q2 35550.q \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $1.937469291$ $[1, -1, 0, 239958, 1279040116]$ \(y^2+xy=x^3-x^2+239958x+1279040116\) 3.4.0.a.1, 15.8.0-3.a.1.2, 948.8.0.?, 4740.16.0.? $[(260, 36734)]$
35550.r1 35550.r \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $5.046971016$ $[1, -1, 0, -510242433192, 140285967017233216]$ \(y^2+xy=x^3-x^2-510242433192x+140285967017233216\) 3.4.0.a.1, 15.8.0-3.a.1.2, 948.8.0.?, 4740.16.0.? $[(4893733904/109, 739767175832/109)]$
35550.r2 35550.r \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $15.14091304$ $[1, -1, 0, -4327823817, 314905729811341]$ \(y^2+xy=x^3-x^2-4327823817x+314905729811341\) 3.4.0.a.1, 15.8.0-3.a.1.1, 948.8.0.?, 4740.16.0.? $[(146097162434/1199, 52326205978004017/1199)]$
35550.s1 35550.s \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $4.070063220$ $[1, -1, 0, -1173717, 489725941]$ \(y^2+xy=x^3-x^2-1173717x+489725941\) 3.4.0.a.1, 9.12.0.a.1, 15.8.0-3.a.1.2, 45.24.0-9.a.1.1, 316.2.0.?, $\ldots$ $[(-582, 31523)]$
35550.s2 35550.s \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $1.356687740$ $[1, -1, 0, -18342, 291316]$ \(y^2+xy=x^3-x^2-18342x+291316\) 3.12.0.a.1, 15.24.0-3.a.1.1, 316.2.0.?, 711.36.0.?, 948.24.1.?, $\ldots$ $[(-132, 698)]$
35550.s3 35550.s \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $4.070063220$ $[1, -1, 0, -10467, -409559]$ \(y^2+xy=x^3-x^2-10467x-409559\) 3.4.0.a.1, 9.12.0.a.1, 15.8.0-3.a.1.1, 45.24.0-9.a.1.2, 316.2.0.?, $\ldots$ $[(-530/3, 877/3)]$
35550.t1 35550.t \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $0.821184061$ $[1, -1, 0, -1467, -49559]$ \(y^2+xy=x^3-x^2-1467x-49559\) 948.2.0.? $[(164, 1943)]$
35550.u1 35550.u \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $1$ $\mathsf{trivial}$ $1.329673744$ $[1, -1, 0, -13992, 644416]$ \(y^2+xy=x^3-x^2-13992x+644416\) 9480.2.0.? $[(69, 28)]$
35550.v1 35550.v \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $1$ $\Z/2\Z$ $17.01092019$ $[1, -1, 0, -8002167, 8059847741]$ \(y^2+xy=x^3-x^2-8002167x+8059847741\) 2.3.0.a.1, 60.6.0.c.1, 1896.6.0.?, 3160.6.0.?, 9480.12.0.? $[(23266229/65, 98627601353/65)]$
35550.v2 35550.v \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $1$ $\Z/2\Z$ $8.505460096$ $[1, -1, 0, 529833, 577283741]$ \(y^2+xy=x^3-x^2+529833x+577283741\) 2.3.0.a.1, 30.6.0.a.1, 1896.6.0.?, 3160.6.0.?, 9480.12.0.? $[(130366/5, 47292149/5)]$
35550.w1 35550.w \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -105327, 11655981]$ \(y^2+xy=x^3-x^2-105327x+11655981\) 2.3.0.a.1, 24.6.0.j.1, 40.6.0.b.1, 60.6.0.c.1, 120.12.0.? $[ ]$
35550.w2 35550.w \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 9873, 942381]$ \(y^2+xy=x^3-x^2+9873x+942381\) 2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.? $[ ]$
35550.x1 35550.x \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -792, -7884]$ \(y^2+xy=x^3-x^2-792x-7884\) 316.2.0.? $[ ]$
35550.y1 35550.y \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 18108, 200016]$ \(y^2+xy=x^3-x^2+18108x+200016\) 948.2.0.? $[ ]$
35550.z1 35550.z \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -97992, -4384584]$ \(y^2+xy=x^3-x^2-97992x-4384584\) 2.3.0.a.1, 40.6.0.b.1, 1896.6.0.?, 4740.6.0.?, 9480.12.0.? $[ ]$
35550.z2 35550.z \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -52992, 4660416]$ \(y^2+xy=x^3-x^2-52992x+4660416\) 2.3.0.a.1, 40.6.0.c.1, 1896.6.0.?, 2370.6.0.?, 9480.12.0.? $[ ]$
35550.ba1 35550.ba \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $1$ $\Z/2\Z$ $84.05192046$ $[1, -1, 0, -647167992, -6336691579584]$ \(y^2+xy=x^3-x^2-647167992x-6336691579584\) 2.3.0.a.1, 60.6.0.c.1, 316.6.0.?, 2370.6.0.?, 4740.12.0.? $[(2822384417625865758745704600532102519/4977644658279790, 4604358404938009008724490018207860441433761660334474273/4977644658279790)]$
35550.ba2 35550.ba \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $1$ $\Z/2\Z$ $42.02596023$ $[1, -1, 0, -40447992, -99003259584]$ \(y^2+xy=x^3-x^2-40447992x-99003259584\) 2.3.0.a.1, 30.6.0.a.1, 316.6.0.?, 4740.12.0.? $[(33476684744523434199/17230286, 193088806335636332350661675793/17230286)]$
35550.bb1 35550.bb \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $1$ $\Z/2\Z$ $2.912025740$ $[1, -1, 1, -1001255, 384794997]$ \(y^2+xy+y=x^3-x^2-1001255x+384794997\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0.v.1, 60.12.0-4.c.1.1, $\ldots$ $[(2171/2, 5925/2)]$
35550.bb2 35550.bb \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $1$ $\Z/2\Z$ $11.64810296$ $[1, -1, 1, -978755, -371250003]$ \(y^2+xy+y=x^3-x^2-978755x-371250003\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0.bb.1, 120.24.0.?, $\ldots$ $[(460539/14, 275227455/14)]$
35550.bb3 35550.bb \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $5.824051480$ $[1, -1, 1, -90005, 247497]$ \(y^2+xy+y=x^3-x^2-90005x+247497\) 2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0.a.1, 60.12.0-2.a.1.1, 120.24.0.?, $\ldots$ $[(2259, 105270)]$
35550.bb4 35550.bb \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $1$ $\Z/2\Z$ $2.912025740$ $[1, -1, 1, 22495, 22497]$ \(y^2+xy+y=x^3-x^2+22495x+22497\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.bb.1, 60.12.0-4.c.1.2, $\ldots$ $[(9, 470)]$
35550.bc1 35550.bc \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -25886720, -50688355293]$ \(y^2+xy+y=x^3-x^2-25886720x-50688355293\) 2.3.0.a.1, 60.6.0.c.1, 316.6.0.?, 2370.6.0.?, 4740.12.0.? $[ ]$
35550.bc2 35550.bc \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -1617920, -791702493]$ \(y^2+xy+y=x^3-x^2-1617920x-791702493\) 2.3.0.a.1, 30.6.0.a.1, 316.6.0.?, 4740.12.0.? $[ ]$
35550.bd1 35550.bd \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $1$ $\Z/2\Z$ $1.048566719$ $[1, -1, 1, -3920, -34293]$ \(y^2+xy+y=x^3-x^2-3920x-34293\) 2.3.0.a.1, 40.6.0.b.1, 1896.6.0.?, 4740.6.0.?, 9480.12.0.? $[(-37, 261)]$
35550.bd2 35550.bd \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \) $1$ $\Z/2\Z$ $0.524283359$ $[1, -1, 1, -2120, 37707]$ \(y^2+xy+y=x^3-x^2-2120x+37707\) 2.3.0.a.1, 40.6.0.c.1, 1896.6.0.?, 2370.6.0.?, 9480.12.0.? $[(23, 15)]$
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