Learn more

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

Refine search


Results (1-50 of 109 matches)

Next   displayed columns for results
Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
48450.a1 48450.a \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $11.81421830$ $[1, 1, 0, -42664025, -66303826875]$ \(y^2+xy=x^3+x^2-42664025x-66303826875\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 40.24.0-8.m.1.2, 136.24.0.?, $\ldots$ $[(-541441/14, 482870905/14)]$
48450.a2 48450.a \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $5.907109154$ $[1, 1, 0, -18116025, 28917865125]$ \(y^2+xy=x^3+x^2-18116025x+28917865125\) 2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.2, 68.12.0.b.1, $\ldots$ $[(-6609/2, 1871535/2)]$
48450.a3 48450.a \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $2.953554577$ $[1, 1, 0, -17988025, 29357033125]$ \(y^2+xy=x^3+x^2-17988025x+29357033125\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.2, 34.6.0.a.1, $\ldots$ $[(-1646, 234295)]$
48450.a4 48450.a \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $11.81421830$ $[1, 1, 0, 4383975, 96035365125]$ \(y^2+xy=x^3+x^2+4383975x+96035365125\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.1, 40.24.0-8.d.1.1, $\ldots$ $[(8804405/28, 27309839355/28)]$
48450.b1 48450.b \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -6827200, -6868976000]$ \(y^2+xy=x^3+x^2-6827200x-6868976000\) 7752.2.0.? $[ ]$
48450.c1 48450.c \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\mathsf{trivial}$ $6.677645222$ $[1, 1, 0, -17323750, 27747428500]$ \(y^2+xy=x^3+x^2-17323750x+27747428500\) 5.24.0-5.a.1.1, 3876.2.0.?, 19380.48.1.? $[(21436/3, 26390/3)]$
48450.c2 48450.c \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\mathsf{trivial}$ $33.38822611$ $[1, 1, 0, 89954750, 64662121000]$ \(y^2+xy=x^3+x^2+89954750x+64662121000\) 5.24.0-5.a.2.1, 3876.2.0.?, 19380.48.1.? $[(4581135734026/212613, 2610093949854501372640/212613)]$
48450.d1 48450.d \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $2$ $\Z/2\Z$ $0.574545765$ $[1, 1, 0, -7875, 140625]$ \(y^2+xy=x^3+x^2-7875x+140625\) 2.3.0.a.1, 60.6.0.c.1, 76.6.0.?, 1140.12.0.? $[(-45, 660), (0, 375)]$
48450.d2 48450.d \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $2$ $\Z/2\Z$ $2.298183060$ $[1, 1, 0, 1625, 17125]$ \(y^2+xy=x^3+x^2+1625x+17125\) 2.3.0.a.1, 30.6.0.a.1, 76.6.0.?, 1140.12.0.? $[(66, 613), (9, 176)]$
48450.e1 48450.e \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -26812962125, 1689905558812125]$ \(y^2+xy=x^3+x^2-26812962125x+1689905558812125\) 2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.? $[ ]$
48450.e2 48450.e \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -1675810125, 26404250908125]$ \(y^2+xy=x^3+x^2-1675810125x+26404250908125\) 2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? $[ ]$
48450.f1 48450.f \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -29790875, -62597784375]$ \(y^2+xy=x^3+x^2-29790875x-62597784375\) 2.3.0.a.1, 8.6.0.d.1, 1938.6.0.?, 7752.12.0.? $[ ]$
48450.f2 48450.f \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -29634625, -63286690625]$ \(y^2+xy=x^3+x^2-29634625x-63286690625\) 2.3.0.a.1, 8.6.0.a.1, 3876.6.0.?, 7752.12.0.? $[ ]$
48450.g1 48450.g \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $6.549037837$ $[1, 1, 0, -1235750, 501112500]$ \(y^2+xy=x^3+x^2-1235750x+501112500\) 2.3.0.a.1, 60.6.0.c.1, 2584.6.0.?, 38760.12.0.? $[(759, 690)]$
48450.g2 48450.g \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $3.274518918$ $[1, 1, 0, 56250, 32116500]$ \(y^2+xy=x^3+x^2+56250x+32116500\) 2.3.0.a.1, 30.6.0.a.1, 2584.6.0.?, 38760.12.0.? $[(215, 7255)]$
48450.h1 48450.h \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\mathsf{trivial}$ $0.752682272$ $[1, 1, 0, -1350, -123000]$ \(y^2+xy=x^3+x^2-1350x-123000\) 3.4.0.a.1, 15.8.0-3.a.1.1, 3876.8.0.?, 19380.16.0.? $[(106, 916)]$
48450.h2 48450.h \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\mathsf{trivial}$ $2.258046817$ $[1, 1, 0, 150, 4500]$ \(y^2+xy=x^3+x^2+150x+4500\) 3.4.0.a.1, 15.8.0-3.a.1.2, 3876.8.0.?, 19380.16.0.? $[(4, 70)]$
48450.i1 48450.i \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -3475, -33875]$ \(y^2+xy=x^3+x^2-3475x-33875\) 2.3.0.a.1, 8.6.0.d.1, 1938.6.0.?, 7752.12.0.? $[ ]$
48450.i2 48450.i \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 12525, -241875]$ \(y^2+xy=x^3+x^2+12525x-241875\) 2.3.0.a.1, 8.6.0.a.1, 3876.6.0.?, 7752.12.0.? $[ ]$
48450.j1 48450.j \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $2.494827297$ $[1, 1, 0, -2755500, 1740114000]$ \(y^2+xy=x^3+x^2-2755500x+1740114000\) 2.3.0.a.1, 68.6.0.c.1, 76.6.0.?, 1292.12.0.? $[(9240, 870180)]$
48450.j2 48450.j \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $4.989654594$ $[1, 1, 0, -323500, -27950000]$ \(y^2+xy=x^3+x^2-323500x-27950000\) 2.3.0.a.1, 34.6.0.a.1, 76.6.0.?, 1292.12.0.? $[(-349, 6701)]$
48450.k1 48450.k \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -3935375, -3008929275]$ \(y^2+xy=x^3+x^2-3935375x-3008929275\) 5.24.0-5.a.2.1, 408.2.0.?, 2040.48.1.? $[ ]$
48450.k2 48450.k \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, 27354300, 27338274000]$ \(y^2+xy=x^3+x^2+27354300x+27338274000\) 5.24.0-5.a.1.1, 408.2.0.?, 2040.48.1.? $[ ]$
48450.l1 48450.l \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\mathsf{trivial}$ $3.169637587$ $[1, 1, 0, -1559200, 748939000]$ \(y^2+xy=x^3+x^2-1559200x+748939000\) 408.2.0.? $[(711, 281)]$
48450.m1 48450.m \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $0.609078077$ $[1, 1, 0, -3619750, -2651225000]$ \(y^2+xy=x^3+x^2-3619750x-2651225000\) 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, $\ldots$ $[(-1094, 1516)]$
48450.m2 48450.m \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $1.218156155$ $[1, 1, 0, -190250, -55093500]$ \(y^2+xy=x^3+x^2-190250x-55093500\) 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, $\ldots$ $[(1015, 27755)]$
48450.m3 48450.m \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $1.827234232$ $[1, 1, 0, -132250, 14012500]$ \(y^2+xy=x^3+x^2-132250x+14012500\) 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, $\ldots$ $[(4, 3670)]$
48450.m4 48450.m \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $3.654468465$ $[1, 1, 0, 19750, 1396500]$ \(y^2+xy=x^3+x^2+19750x+1396500\) 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, $\ldots$ $[(196, 3486)]$
48450.n1 48450.n \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -929500, -345281000]$ \(y^2+xy=x^3+x^2-929500x-345281000\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.s.1, 120.24.0.?, $\ldots$ $[ ]$
48450.n2 48450.n \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -347500, 74965000]$ \(y^2+xy=x^3+x^2-347500x+74965000\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0-4.c.1.5, 76.12.0.?, $\ldots$ $[ ]$
48450.n3 48450.n \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 0, -62500, -4550000]$ \(y^2+xy=x^3+x^2-62500x-4550000\) 2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.b.1, 76.12.0.?, 120.24.0.?, $\ldots$ $[ ]$
48450.n4 48450.n \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 9500, -446000]$ \(y^2+xy=x^3+x^2+9500x-446000\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.y.1, 76.12.0.?, $\ldots$ $[ ]$
48450.o1 48450.o \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $2$ $\Z/2\Z$ $0.296207390$ $[1, 0, 1, -10851, 428098]$ \(y^2+xy+y=x^3-10851x+428098\) 2.3.0.a.1, 68.6.0.c.1, 76.6.0.?, 1292.12.0.? $[(77, 186), (2, 636)]$
48450.o2 48450.o \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $2$ $\Z/2\Z$ $1.184829561$ $[1, 0, 1, -1351, -8902]$ \(y^2+xy+y=x^3-1351x-8902\) 2.3.0.a.1, 34.6.0.a.1, 76.6.0.?, 1292.12.0.? $[(67, 416), (43, 92)]$
48450.p1 48450.p \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\mathsf{trivial}$ $0.877732174$ $[1, 0, 1, -15350601, -23614859252]$ \(y^2+xy+y=x^3-15350601x-23614859252\) 228.2.0.? $[(5627, 258306)]$
48450.q1 48450.q \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\mathsf{trivial}$ $0.556722662$ $[1, 0, 1, -13451, 815798]$ \(y^2+xy+y=x^3-13451x+815798\) 408.2.0.? $[(102, 661)]$
48450.r1 48450.r \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\mathsf{trivial}$ $0.300039269$ $[1, 0, 1, -66236, 10824698]$ \(y^2+xy+y=x^3-66236x+10824698\) 228.2.0.? $[(81, 2407)]$
48450.s1 48450.s \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -1631651, -802323052]$ \(y^2+xy+y=x^3-1631651x-802323052\) 2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.? $[ ]$
48450.s2 48450.s \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -97401, -13718552]$ \(y^2+xy+y=x^3-97401x-13718552\) 2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? $[ ]$
48450.t1 48450.t \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, 3549, -54452]$ \(y^2+xy+y=x^3+3549x-54452\) 408.2.0.? $[ ]$
48450.u1 48450.u \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -622956, -21296342]$ \(y^2+xy+y=x^3-622956x-21296342\) 2.3.0.a.1, 120.6.0.?, 380.6.0.?, 456.6.0.?, 2280.12.0.? $[ ]$
48450.u2 48450.u \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, 154644, -2633942]$ \(y^2+xy+y=x^3+154644x-2633942\) 2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.? $[ ]$
48450.v1 48450.v \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, 9, -62]$ \(y^2+xy+y=x^3+9x-62\) 7752.2.0.? $[ ]$
48450.w1 48450.w \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, 237, -7719]$ \(y^2+xy+y=x^3+x^2+237x-7719\) 7752.2.0.? $[ ]$
48450.x1 48450.x \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -365923063, 2694065050781]$ \(y^2+xy+y=x^3+x^2-365923063x+2694065050781\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 76.12.0.?, 380.24.0.?, $\ldots$ $[ ]$
48450.x2 48450.x \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 1, -22973063, 41689750781]$ \(y^2+xy+y=x^3+x^2-22973063x+41689750781\) 2.6.0.a.1, 20.12.0-2.a.1.1, 76.12.0.?, 204.12.0.?, 380.24.0.?, $\ldots$ $[ ]$
48450.x3 48450.x \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -2973063, -990249219]$ \(y^2+xy+y=x^3+x^2-2973063x-990249219\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 152.12.0.?, 380.12.0.?, $\ldots$ $[ ]$
48450.x4 48450.x \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -23063, 121234450781]$ \(y^2+xy+y=x^3+x^2-23063x+121234450781\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 102.6.0.?, 152.12.0.?, $\ldots$ $[ ]$
48450.y1 48450.y \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $5.818444643$ $[1, 1, 1, -15573888, -2662042719]$ \(y^2+xy+y=x^3+x^2-15573888x-2662042719\) 2.3.0.a.1, 120.6.0.?, 380.6.0.?, 456.6.0.?, 2280.12.0.? $[(8571, 698273)]$
48450.y2 48450.y \( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $2.909222321$ $[1, 1, 1, 3866112, -329242719]$ \(y^2+xy+y=x^3+x^2+3866112x-329242719\) 2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.? $[(571, 45155)]$
Next   displayed columns for results