The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

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Results (1-50 of 52 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
2070.a1 2070.a \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -75345, -7929379]$ \(y^2+xy=x^3-x^2-75345x-7929379\) 2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 24.48.0-24.ca.1.7, 920.6.0.?, $\ldots$ $[ ]$
2070.a2 2070.a \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -6225, -35875]$ \(y^2+xy=x^3-x^2-6225x-35875\) 2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 24.48.0-24.cd.1.11, 690.48.0.?, $\ldots$ $[ ]$
2070.a3 2070.a \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $0$ $\Z/6\Z$ $1$ $[1, -1, 0, -3930, 85500]$ \(y^2+xy=x^3-x^2-3930x+85500\) 2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 24.48.0-24.ca.1.15, 920.6.0.?, $\ldots$ $[ ]$
2070.a4 2070.a \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $0$ $\Z/6\Z$ $1$ $[1, -1, 0, -3810, 91476]$ \(y^2+xy=x^3-x^2-3810x+91476\) 2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 24.48.0-24.cd.1.15, 690.48.0.?, $\ldots$ $[ ]$
2070.b1 2070.b \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $1$ $\Z/2\Z$ $7.039441172$ $[1, -1, 0, -993600, -380962764]$ \(y^2+xy=x^3-x^2-993600x-380962764\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 12.12.0-4.c.1.2, 16.48.0-16.e.1.9, $\ldots$ $[(2847, 139503)]$
2070.b2 2070.b \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $1$ $\Z/2\Z$ $0.879930146$ $[1, -1, 0, -232470, 37012950]$ \(y^2+xy=x^3-x^2-232470x+37012950\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.2.8, 12.12.0-4.c.1.1, 24.96.0-24.bl.2.6, $\ldots$ $[(-105, 7815)]$
2070.b3 2070.b \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.759860293$ $[1, -1, 0, -63720, -5613300]$ \(y^2+xy=x^3-x^2-63720x-5613300\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.6, 12.24.0-4.b.1.1, 24.96.0-24.m.2.2, $\ldots$ $[(-177, 399)]$
2070.b4 2070.b \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.519720586$ $[1, -1, 0, -62100, -5940864]$ \(y^2+xy=x^3-x^2-62100x-5940864\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.5, 12.24.0-4.b.1.3, 24.96.0-24.r.2.8, $\ldots$ $[(363, 4206)]$
2070.b5 2070.b \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $1$ $\Z/2\Z$ $1.759860293$ $[1, -1, 0, -3780, -97200]$ \(y^2+xy=x^3-x^2-3780x-97200\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.2, 16.48.0-8.bb.1.4, $\ldots$ $[(120, 1020)]$
2070.b6 2070.b \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $1$ $\Z/2\Z$ $3.519720586$ $[1, -1, 0, 79110, -27294894]$ \(y^2+xy=x^3-x^2+79110x-27294894\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.8, 12.12.0-4.c.1.1, 16.48.0-16.e.2.9, $\ldots$ $[(237, 2055)]$
2070.c1 2070.c \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $1$ $\Z/2\Z$ $0.818770383$ $[1, -1, 0, -35325, 2564325]$ \(y^2+xy=x^3-x^2-35325x+2564325\) 2.3.0.a.1, 60.6.0.c.1, 184.6.0.?, 2760.12.0.? $[(105, 15)]$
2070.c2 2070.c \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $1$ $\Z/2\Z$ $0.409385191$ $[1, -1, 0, -2205, 40581]$ \(y^2+xy=x^3-x^2-2205x+40581\) 2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? $[(15, 96)]$
2070.d1 2070.d \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $1$ $\Z/2\Z$ $0.399615093$ $[1, -1, 0, -39, 95]$ \(y^2+xy=x^3-x^2-39x+95\) 2.3.0.a.1, 24.6.0.a.1, 920.6.0.?, 1380.6.0.?, 2760.12.0.? $[(1, 7)]$
2070.d2 2070.d \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $1$ $\Z/2\Z$ $0.799230187$ $[1, -1, 0, -9, -7]$ \(y^2+xy=x^3-x^2-9x-7\) 2.3.0.a.1, 24.6.0.d.1, 690.6.0.?, 920.6.0.?, 2760.12.0.? $[(4, 1)]$
2070.e1 2070.e \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $1$ $\Z/2\Z$ $0.343385711$ $[1, -1, 0, -1044, -12200]$ \(y^2+xy=x^3-x^2-1044x-12200\) 2.3.0.a.1, 24.6.0.a.1, 92.6.0.?, 552.12.0.? $[(-19, 32)]$
2070.e2 2070.e \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $1$ $\Z/2\Z$ $0.686771422$ $[1, -1, 0, 36, -752]$ \(y^2+xy=x^3-x^2+36x-752\) 2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.? $[(17, 59)]$
2070.f1 2070.f \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -16944, 828800]$ \(y^2+xy=x^3-x^2-16944x+828800\) 2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.? $[ ]$
2070.f2 2070.f \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 336, 44288]$ \(y^2+xy=x^3-x^2+336x+44288\) 2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.? $[ ]$
2070.g1 2070.g \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $1$ $\Z/2\Z$ $0.361267907$ $[1, -1, 0, -7074, 160380]$ \(y^2+xy=x^3-x^2-7074x+160380\) 2.3.0.a.1, 60.6.0.c.1, 184.6.0.?, 2760.12.0.? $[(81, 297)]$
2070.g2 2070.g \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $1$ $\Z/2\Z$ $0.180633953$ $[1, -1, 0, 1206, 16308]$ \(y^2+xy=x^3-x^2+1206x+16308\) 2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? $[(12, 174)]$
2070.h1 2070.h \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -12441699, 16894588693]$ \(y^2+xy=x^3-x^2-12441699x+16894588693\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 12.12.0-4.c.1.1, 24.24.0-8.k.1.1, $\ldots$ $[ ]$
2070.h2 2070.h \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -910179, 168062485]$ \(y^2+xy=x^3-x^2-910179x+168062485\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 24.24.0-8.p.1.5, 184.24.0.?, $\ldots$ $[ ]$
2070.h3 2070.h \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -777699, 264057493]$ \(y^2+xy=x^3-x^2-777699x+264057493\) 2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.2, 92.12.0.?, $\ldots$ $[ ]$
2070.h4 2070.h \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -40419, 5567125]$ \(y^2+xy=x^3-x^2-40419x+5567125\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.2, 24.24.0-8.p.1.8, $\ldots$ $[ ]$
2070.i1 2070.i \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $1$ $\Z/2\Z$ $1.185556518$ $[1, -1, 0, -1078509, -430806235]$ \(y^2+xy=x^3-x^2-1078509x-430806235\) 2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.? $[(-599, 472)]$
2070.i2 2070.i \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $1$ $\Z/2\Z$ $0.592778259$ $[1, -1, 0, -62829, -7673947]$ \(y^2+xy=x^3-x^2-62829x-7673947\) 2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.? $[(367, 4129)]$
2070.j1 2070.j \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -353, -2213]$ \(y^2+xy+y=x^3-x^2-353x-2213\) 2.3.0.a.1, 24.6.0.a.1, 920.6.0.?, 1380.6.0.?, 2760.12.0.? $[ ]$
2070.j2 2070.j \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -83, 271]$ \(y^2+xy+y=x^3-x^2-83x+271\) 2.3.0.a.1, 24.6.0.d.1, 690.6.0.?, 920.6.0.?, 2760.12.0.? $[ ]$
2070.k1 2070.k \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -28548518, 57983424981]$ \(y^2+xy+y=x^3-x^2-28548518x+57983424981\) 2.3.0.a.1, 24.6.0.a.1, 92.6.0.?, 552.12.0.? $[ ]$
2070.k2 2070.k \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -204998, 2452800597]$ \(y^2+xy+y=x^3-x^2-204998x+2452800597\) 2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.? $[ ]$
2070.l1 2070.l \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $1$ $\Z/2\Z$ $0.196109048$ $[1, -1, 1, -1883, -30069]$ \(y^2+xy+y=x^3-x^2-1883x-30069\) 2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.? $[(-27, 36)]$
2070.l2 2070.l \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $1$ $\Z/2\Z$ $0.392218097$ $[1, -1, 1, 37, -1653]$ \(y^2+xy+y=x^3-x^2+37x-1653\) 2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.? $[(15, 38)]$
2070.m1 2070.m \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $1$ $\Z/2\Z$ $1.336106800$ $[1, -1, 1, -13253, 590537]$ \(y^2+xy+y=x^3-x^2-13253x+590537\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.ba.1, 92.12.0.?, $\ldots$ $[(67, -30)]$
2070.m2 2070.m \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.668053400$ $[1, -1, 1, -833, 9281]$ \(y^2+xy+y=x^3-x^2-833x+9281\) 2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 60.24.0-20.a.1.1, 92.12.0.?, $\ldots$ $[(21, 16)]$
2070.m3 2070.m \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $1$ $\Z/2\Z$ $0.334026700$ $[1, -1, 1, -113, -223]$ \(y^2+xy+y=x^3-x^2-113x-223\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.ba.1, 60.12.0-4.c.1.2, $\ldots$ $[(-3, 10)]$
2070.m4 2070.m \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $1$ $\Z/2\Z$ $1.336106800$ $[1, -1, 1, 67, 27641]$ \(y^2+xy+y=x^3-x^2+67x+27641\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0.h.1, 60.24.0-20.h.1.2, $\ldots$ $[(-9, 166)]$
2070.n1 2070.n \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -9706583, 11641474927]$ \(y^2+xy+y=x^3-x^2-9706583x+11641474927\) 2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.? $[ ]$
2070.n2 2070.n \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -565463, 207762031]$ \(y^2+xy+y=x^3-x^2-565463x+207762031\) 2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.? $[ ]$
2070.o1 2070.o \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -2183, 39777]$ \(y^2+xy+y=x^3-x^2-2183x+39777\) 2.3.0.a.1, 60.6.0.c.1, 184.6.0.?, 2760.12.0.? $[ ]$
2070.o2 2070.o \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -113, 861]$ \(y^2+xy+y=x^3-x^2-113x+861\) 2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? $[ ]$
2070.p1 2070.p \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $1$ $\Z/2\Z$ $1.979987442$ $[1, -1, 1, -35372, -2273129]$ \(y^2+xy+y=x^3-x^2-35372x-2273129\) 2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 24.48.0-24.ca.1.7, 920.6.0.?, $\ldots$ $[(-89, 449)]$
2070.p2 2070.p \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $1$ $\Z/2\Z$ $3.959974884$ $[1, -1, 1, -34292, -2435561]$ \(y^2+xy+y=x^3-x^2-34292x-2435561\) 2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 24.48.0-24.cd.1.11, 690.48.0.?, $\ldots$ $[(379, 6047)]$
2070.p3 2070.p \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $1$ $\Z/6\Z$ $0.659995814$ $[1, -1, 1, -8372, 296471]$ \(y^2+xy+y=x^3-x^2-8372x+296471\) 2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 24.48.0-24.ca.1.15, 920.6.0.?, $\ldots$ $[(49, 21)]$
2070.p4 2070.p \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $1$ $\Z/6\Z$ $1.319991628$ $[1, -1, 1, -692, 1559]$ \(y^2+xy+y=x^3-x^2-692x+1559\) 2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 24.48.0-24.cd.1.15, 690.48.0.?, $\ldots$ $[(27, 31)]$
2070.q1 2070.q \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $1$ $\Z/2\Z$ $0.062622396$ $[1, -1, 1, -15737, 669849]$ \(y^2+xy+y=x^3-x^2-15737x+669849\) 2.3.0.a.1, 24.6.0.a.1, 92.6.0.?, 552.12.0.? $[(137, 966)]$
2070.q2 2070.q \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $1$ $\Z/2\Z$ $0.125244792$ $[1, -1, 1, 1543, 54681]$ \(y^2+xy+y=x^3-x^2+1543x+54681\) 2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.? $[(11, 264)]$
2070.r1 2070.r \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -95792, -11362309]$ \(y^2+xy+y=x^3-x^2-95792x-11362309\) 2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.s.1.1, 920.24.0.?, 2760.48.0.? $[ ]$
2070.r2 2070.r \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 1, -8312, -24901]$ \(y^2+xy+y=x^3-x^2-8312x-24901\) 2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.4, 920.24.0.?, 1380.24.0.?, $\ldots$ $[ ]$
2070.r3 2070.r \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $0$ $\Z/4\Z$ $1$ $[1, -1, 1, -5432, 154811]$ \(y^2+xy+y=x^3-x^2-5432x+154811\) 2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.y.1.4, 690.6.0.?, 920.24.0.?, $\ldots$ $[ ]$
2070.r4 2070.r \( 2 \cdot 3^{2} \cdot 5 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 33088, -223621]$ \(y^2+xy+y=x^3-x^2+33088x-223621\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.y.1.6, 920.24.0.?, $\ldots$ $[ ]$
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