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

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Results (41 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
13475.a1 13475.a \( 5^{2} \cdot 7^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $0.296451191$ $[0, 0, 1, -245, 1286]$ \(y^2+y=x^3-245x+1286\) 154.2.0.? $[(14, 24)]$
13475.b1 13475.b \( 5^{2} \cdot 7^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, 268862, -125660844]$ \(y^2+xy+y=x^3+x^2+268862x-125660844\) 20.2.0.a.1 $[ ]$
13475.c1 13475.c \( 5^{2} \cdot 7^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -72505, -7494378]$ \(y^2+xy+y=x^3-x^2-72505x-7494378\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 44.12.0.h.1, 56.12.0-4.c.1.5, $\ldots$ $[ ]$
13475.c2 13475.c \( 5^{2} \cdot 7^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -35755, 2550622]$ \(y^2+xy+y=x^3-x^2-35755x+2550622\) 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, $\ldots$ $[ ]$
13475.c3 13475.c \( 5^{2} \cdot 7^{2} \cdot 11 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 1, -5130, -83128]$ \(y^2+xy+y=x^3-x^2-5130x-83128\) 2.6.0.a.1, 20.12.0.b.1, 28.12.0-2.a.1.1, 44.12.0.a.1, 140.24.0.?, $\ldots$ $[ ]$
13475.c4 13475.c \( 5^{2} \cdot 7^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 995, -9628]$ \(y^2+xy+y=x^3-x^2+995x-9628\) 2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0.z.1, 88.12.0.?, $\ldots$ $[ ]$
13475.d1 13475.d \( 5^{2} \cdot 7^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $0.299712166$ $[1, 0, 0, 5487, 367142]$ \(y^2+xy=x^3+5487x+367142\) 20.2.0.a.1 $[(277, 4674)]$
13475.e1 13475.e \( 5^{2} \cdot 7^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -1599263, 777776656]$ \(y^2+xy+y=x^3+x^2-1599263x+777776656\) 2.3.0.a.1, 10.6.0.a.1, 44.6.0.d.1, 220.12.0.? $[ ]$
13475.e2 13475.e \( 5^{2} \cdot 7^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -98638, 12457906]$ \(y^2+xy+y=x^3+x^2-98638x+12457906\) 2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.? $[ ]$
13475.f1 13475.f \( 5^{2} \cdot 7^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -57233, -5005694]$ \(y^2+xy+y=x^3+x^2-57233x-5005694\) 2.3.0.a.1, 10.6.0.a.1, 44.6.0.d.1, 220.12.0.? $[ ]$
13475.f2 13475.f \( 5^{2} \cdot 7^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, 2792, -323744]$ \(y^2+xy+y=x^3+x^2+2792x-323744\) 2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.? $[ ]$
13475.g1 13475.g \( 5^{2} \cdot 7^{2} \cdot 11 \) $1$ $\Z/2\Z$ $3.730991126$ $[1, 1, 1, -63113, -5659844]$ \(y^2+xy+y=x^3+x^2-63113x-5659844\) 2.3.0.a.1, 28.6.0.c.1, 44.6.0.a.1, 308.12.0.? $[(26900, 4398387)]$
13475.g2 13475.g \( 5^{2} \cdot 7^{2} \cdot 11 \) $1$ $\Z/2\Z$ $7.461982253$ $[1, 1, 1, 4262, -404594]$ \(y^2+xy+y=x^3+x^2+4262x-404594\) 2.3.0.a.1, 14.6.0.b.1, 44.6.0.b.1, 308.12.0.? $[(2794/7, 47354/7)]$
13475.h1 13475.h \( 5^{2} \cdot 7^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, 2450, -10719]$ \(y^2+y=x^3+2450x-10719\) 22.2.0.a.1 $[ ]$
13475.i1 13475.i \( 5^{2} \cdot 7^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -2184583, 1242061244]$ \(y^2+y=x^3+x^2-2184583x+1242061244\) 3.4.0.a.1, 105.8.0.?, 154.2.0.?, 330.8.0.?, 462.8.0.?, $\ldots$ $[ ]$
13475.i2 13475.i \( 5^{2} \cdot 7^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -40833, -241881]$ \(y^2+y=x^3+x^2-40833x-241881\) 3.4.0.a.1, 105.8.0.?, 154.2.0.?, 330.8.0.?, 462.8.0.?, $\ldots$ $[ ]$
13475.j1 13475.j \( 5^{2} \cdot 7^{2} \cdot 11 \) $2$ $\mathsf{trivial}$ $0.290930611$ $[0, 0, 1, -8750, 222031]$ \(y^2+y=x^3-8750x+222031\) 5.30.0.b.1, 35.60.0.c.1, 110.60.2.?, 154.2.0.?, 770.120.5.? $[(25, 137), (91, 423)]$
13475.k1 13475.k \( 5^{2} \cdot 7^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $0.748567530$ $[0, 0, 1, -17150, -609254]$ \(y^2+y=x^3-17150x-609254\) 5.30.0.b.1, 35.60.0.c.1, 110.60.2.?, 154.2.0.?, 770.120.5.? $[(196, 1886)]$
13475.l1 13475.l \( 5^{2} \cdot 7^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $0.263436413$ $[0, 0, 1, -350, 1776]$ \(y^2+y=x^3-350x+1776\) 5.30.0.b.1, 35.60.0.c.1, 110.60.2.?, 154.2.0.?, 770.120.5.? $[(-6, 60)]$
13475.m1 13475.m \( 5^{2} \cdot 7^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -428750, -76156719]$ \(y^2+y=x^3-428750x-76156719\) 5.30.0.b.1, 35.60.0.c.1, 110.60.2.?, 154.2.0.?, 770.120.5.? $[ ]$
13475.n1 13475.n \( 5^{2} \cdot 7^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -109433, -13970456]$ \(y^2+y=x^3+x^2-109433x-13970456\) 3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 63.36.0.e.1, 66.8.0.a.1, $\ldots$ $[ ]$
13475.n2 13475.n \( 5^{2} \cdot 7^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -60433, -26459331]$ \(y^2+y=x^3+x^2-60433x-26459331\) 3.12.0.a.1, 22.2.0.a.1, 63.36.0.b.1, 66.24.1.b.1, 105.24.0.?, $\ldots$ $[ ]$
13475.n3 13475.n \( 5^{2} \cdot 7^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, 539817, 684536794]$ \(y^2+y=x^3+x^2+539817x+684536794\) 3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 63.36.0.e.2, 66.8.0.a.1, $\ldots$ $[ ]$
13475.o1 13475.o \( 5^{2} \cdot 7^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $0.548137981$ $[0, -1, 1, -87383, 9971443]$ \(y^2+y=x^3-x^2-87383x+9971443\) 3.4.0.a.1, 21.8.0-3.a.1.2, 66.8.0-3.a.1.2, 154.2.0.?, 462.16.0.? $[(187, 367)]$
13475.o2 13475.o \( 5^{2} \cdot 7^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $1.644413945$ $[0, -1, 1, -1633, -1282]$ \(y^2+y=x^3-x^2-1633x-1282\) 3.4.0.a.1, 21.8.0-3.a.1.1, 66.8.0-3.a.1.1, 154.2.0.?, 462.16.0.? $[(138, 1543)]$
13475.p1 13475.p \( 5^{2} \cdot 7^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -67401, -6633427]$ \(y^2+xy+y=x^3-67401x-6633427\) 2.3.0.a.1, 28.6.0.c.1, 44.6.0.a.1, 308.12.0.? $[ ]$
13475.p2 13475.p \( 5^{2} \cdot 7^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -26, -300177]$ \(y^2+xy+y=x^3-26x-300177\) 2.3.0.a.1, 14.6.0.b.1, 44.6.0.b.1, 308.12.0.? $[ ]$
13475.q1 13475.q \( 5^{2} \cdot 7^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -1430826, -622850077]$ \(y^2+xy+y=x^3-1430826x-622850077\) 2.3.0.a.1, 10.6.0.a.1, 44.6.0.d.1, 220.12.0.? $[ ]$
13475.q2 13475.q \( 5^{2} \cdot 7^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, 69799, -40607577]$ \(y^2+xy+y=x^3+69799x-40607577\) 2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.? $[ ]$
13475.r1 13475.r \( 5^{2} \cdot 7^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -63971, 6222213]$ \(y^2+xy+y=x^3-63971x+6222213\) 2.3.0.a.1, 10.6.0.a.1, 44.6.0.d.1, 220.12.0.? $[ ]$
13475.r2 13475.r \( 5^{2} \cdot 7^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -3946, 99663]$ \(y^2+xy+y=x^3-3946x+99663\) 2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.? $[ ]$
13475.s1 13475.s \( 5^{2} \cdot 7^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $0.541740351$ $[1, 1, 0, 220, 3025]$ \(y^2+xy=x^3+x^2+220x+3025\) 20.2.0.a.1 $[(0, 55)]$
13475.t1 13475.t \( 5^{2} \cdot 7^{2} \cdot 11 \) $1$ $\Z/2\Z$ $31.59385554$ $[1, -1, 0, -12576692, -17163988409]$ \(y^2+xy=x^3-x^2-12576692x-17163988409\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 56.12.0.z.1, 88.12.0.?, $\ldots$ $[(46737295830907/53542, 309959364902713988839/53542)]$
13475.t2 13475.t \( 5^{2} \cdot 7^{2} \cdot 11 \) $1$ $\Z/2\Z$ $7.898463885$ $[1, -1, 0, -853442, -219310659]$ \(y^2+xy=x^3-x^2-853442x-219310659\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 44.12.0.h.1, 56.12.0.z.1, $\ldots$ $[(-246636/29, 61740447/29)]$
13475.t3 13475.t \( 5^{2} \cdot 7^{2} \cdot 11 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $15.79692777$ $[1, -1, 0, -786067, -268022784]$ \(y^2+xy=x^3-x^2-786067x-268022784\) 2.6.0.a.1, 20.12.0-2.a.1.1, 28.12.0.b.1, 44.12.0.a.1, 140.24.0.?, $\ldots$ $[(23316747/38, 111971476791/38)]$
13475.t4 13475.t \( 5^{2} \cdot 7^{2} \cdot 11 \) $1$ $\Z/2\Z$ $7.898463885$ $[1, -1, 0, -44942, -4923409]$ \(y^2+xy=x^3-x^2-44942x-4923409\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 20.12.0-4.c.1.2, 28.12.0.g.1, $\ldots$ $[(16138, 2041803)]$
13475.u1 13475.u \( 5^{2} \cdot 7^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, 10754, -1005287]$ \(y^2+xy+y=x^3+10754x-1005287\) 20.2.0.a.1 $[ ]$
13475.v1 13475.v \( 5^{2} \cdot 7^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $7.753779536$ $[0, -1, 1, -9579908, 11415939093]$ \(y^2+y=x^3-x^2-9579908x+11415939093\) 5.12.0.a.2, 22.2.0.a.1, 25.60.0.a.2, 35.24.0-5.a.2.1, 110.24.1.?, $\ldots$ $[(10874029/78, -198125/78)]$
13475.v2 13475.v \( 5^{2} \cdot 7^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $1.550755907$ $[0, -1, 1, -12658, 997093]$ \(y^2+y=x^3-x^2-12658x+997093\) 5.60.0.a.1, 22.2.0.a.1, 35.120.0-5.a.1.1, 110.120.5.?, 275.300.12.?, $\ldots$ $[(349/2, 5925/2)]$
13475.v3 13475.v \( 5^{2} \cdot 7^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $7.753779536$ $[0, -1, 1, -408, -7407]$ \(y^2+y=x^3-x^2-408x-7407\) 5.12.0.a.1, 22.2.0.a.1, 25.60.0.a.1, 35.24.0-5.a.1.1, 110.24.1.?, $\ldots$ $[(14941/10, 1800789/10)]$
13475.w1 13475.w \( 5^{2} \cdot 7^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -6125, 160781]$ \(y^2+y=x^3-6125x+160781\) 154.2.0.? $[ ]$
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