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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
11.a1 11.a \( 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 1, -7820, -263580]$ \(y^2+y=x^3-x^2-7820x-263580\) 5.24.0-5.a.2.2, 22.2.0.a.1, 25.120.0-25.a.2.2, 110.48.1.?, 275.600.12.?, $\ldots$ $[ ]$
19.a1 19.a \( 19 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -769, -8470]$ \(y^2+y=x^3+x^2-769x-8470\) 3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 27.72.0-27.a.1.1, 38.2.0.a.1, 114.16.0.?, $\ldots$ $[ ]$
26.a1 26.a \( 2 \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -460, -3830]$ \(y^2+xy+y=x^3-460x-3830\) 3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 104.2.0.?, 117.72.0.?, 312.16.0.?, $\ldots$ $[ ]$
26.b1 26.b \( 2 \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 1, -213, -1257]$ \(y^2+xy+y=x^3-x^2-213x-1257\) 7.48.0-7.a.2.2, 104.2.0.?, 728.96.2.? $[ ]$
27.a1 27.a \( 3^{3} \) $0$ $\mathsf{trivial}$ $-27$ $1$ $[0, 0, 1, -270, -1708]$ \(y^2+y=x^3-270x-1708\) $[ ]$
35.a1 35.a \( 5 \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -131, -650]$ \(y^2+y=x^3+x^2-131x-650\) 3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 63.72.0-63.e.2.2, 70.2.0.a.1, 210.16.0.?, $\ldots$ $[ ]$
37.b1 37.b \( 37 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -1873, -31833]$ \(y^2+y=x^3+x^2-1873x-31833\) 3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 27.72.0-27.a.1.1, 74.2.0.?, 222.16.0.?, $\ldots$ $[ ]$
38.a1 38.a \( 2 \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -86, -2456]$ \(y^2+xy+y=x^3-86x-2456\) 3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 27.72.0-27.a.1.1, 152.2.0.?, 171.72.0.?, $\ldots$ $[ ]$
38.b1 38.b \( 2 \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, -70, -279]$ \(y^2+xy+y=x^3+x^2-70x-279\) 5.24.0-5.a.2.2, 152.2.0.?, 760.48.1.? $[ ]$
44.a1 44.a \( 2^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -77, -289]$ \(y^2=x^3+x^2-77x-289\) 3.8.0-3.a.1.1, 22.2.0.a.1, 66.16.0-66.a.1.1 $[ ]$
50.a1 50.a \( 2 \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -126, -552]$ \(y^2+xy+y=x^3-126x-552\) 3.8.0-3.a.1.1, 5.24.0-5.a.2.1, 8.2.0.a.1, 15.192.1-15.a.1.1, 24.16.0-24.a.1.6, $\ldots$ $[ ]$
50.a4 50.a \( 2 \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, 549, -2202]$ \(y^2+xy+y=x^3+549x-2202\) 3.8.0-3.a.1.1, 5.24.0-5.a.1.1, 8.2.0.a.1, 15.192.1-15.a.3.2, 24.16.0-24.a.1.6, $\ldots$ $[ ]$
50.b1 50.b \( 2 \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, -3138, -68969]$ \(y^2+xy+y=x^3+x^2-3138x-68969\) 3.4.0.a.1, 5.24.0-5.a.2.2, 8.2.0.a.1, 15.192.1-15.a.1.3, 24.8.0.a.1, $\ldots$ $[ ]$
50.b2 50.b \( 2 \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, -13, -219]$ \(y^2+xy+y=x^3+x^2-13x-219\) 3.4.0.a.1, 5.24.0-5.a.2.2, 8.2.0.a.1, 15.192.1-15.a.2.4, 24.8.0.a.1, $\ldots$ $[ ]$
51.a1 51.a \( 3 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -59, -196]$ \(y^2+y=x^3+x^2-59x-196\) 3.8.0-3.a.1.1, 102.16.0.? $[ ]$
54.a1 54.a \( 2 \cdot 3^{3} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -123, -667]$ \(y^2+xy=x^3-x^2-123x-667\) 3.8.0-3.a.1.1, 9.72.0-9.d.1.1, 24.16.0-24.d.1.7, 72.144.3.? $[ ]$
54.b1 54.b \( 2 \cdot 3^{3} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 1, -29, -53]$ \(y^2+xy+y=x^3-x^2-29x-53\) 3.8.0-3.a.1.1, 9.72.0-9.d.2.2, 24.16.0-24.d.1.7, 72.144.3.? $[ ]$
57.b1 57.b \( 3 \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -4390, -113432]$ \(y^2+y=x^3+x^2-4390x-113432\) 5.24.0-5.a.2.2, 38.2.0.a.1, 190.48.1.? $[ ]$
58.b1 58.b \( 2 \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, -455, -3951]$ \(y^2+xy+y=x^3+x^2-455x-3951\) 5.24.0-5.a.2.2, 116.2.0.?, 580.48.1.? $[ ]$
67.a1 67.a \( 67 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -12, -21]$ \(y^2+y=x^3+x^2-12x-21\) 134.2.0.? $[ ]$
75.a1 75.a \( 3 \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -208, -1256]$ \(y^2+y=x^3+x^2-208x-1256\) 5.24.0-5.a.2.2, 6.2.0.a.1, 30.48.1-30.d.2.4 $[ ]$
75.c1 75.c \( 3 \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 1, -8, -7]$ \(y^2+y=x^3-x^2-8x-7\) 5.24.0-5.a.2.1, 6.2.0.a.1, 30.48.1-30.d.2.3 $[ ]$
75.c2 75.c \( 3 \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 1, 42, 443]$ \(y^2+y=x^3-x^2+42x+443\) 5.24.0-5.a.1.1, 6.2.0.a.1, 30.48.1-30.d.1.3 $[ ]$
76.a1 76.a \( 2^{2} \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -21, -31]$ \(y^2=x^3-x^2-21x-31\) 38.2.0.a.1 $[ ]$
77.b3 77.b \( 7 \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, 441, -15815]$ \(y^2+y=x^3+x^2+441x-15815\) 3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 22.2.0.a.1, 63.72.0-63.e.2.2, 66.16.0-66.a.1.1, $\ldots$ $[ ]$
92.b1 92.b \( 2^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -18, -43]$ \(y^2=x^3+x^2-18x-43\) 3.8.0-3.a.1.1, 46.2.0.a.1, 138.16.0.? $[ ]$
99.d1 99.d \( 3^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -70383, 7187035]$ \(y^2+y=x^3-70383x+7187035\) 5.12.0.a.2, 15.24.0-5.a.2.1, 22.2.0.a.1, 25.60.0.a.2, 75.120.0.?, $\ldots$ $[ ]$
99.d2 99.d \( 3^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -93, 625]$ \(y^2+y=x^3-93x+625\) 5.60.0.a.1, 15.120.0-5.a.1.1, 22.2.0.a.1, 110.120.5.?, 275.300.12.?, $\ldots$ $[ ]$
99.d3 99.d \( 3^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -3, -5]$ \(y^2+y=x^3-3x-5\) 5.12.0.a.1, 15.24.0-5.a.1.1, 22.2.0.a.1, 25.60.0.a.1, 75.120.0.?, $\ldots$ $[ ]$
104.a1 104.a \( 2^{3} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -16, -32]$ \(y^2=x^3+x^2-16x-32\) 104.2.0.? $[ ]$
106.b1 106.b \( 2 \cdot 53 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -27, -67]$ \(y^2+xy=x^3+x^2-27x-67\) 424.2.0.? $[ ]$
106.c1 106.c \( 2 \cdot 53 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 0, -9, -29]$ \(y^2+xy=x^3-9x-29\) 3.8.0-3.a.1.1, 424.2.0.?, 1272.16.0.? $[ ]$
106.d1 106.d \( 2 \cdot 53 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 0, -24603, -1487407]$ \(y^2+xy=x^3-24603x-1487407\) 3.8.0-3.a.1.1, 212.2.0.?, 636.16.0.? $[ ]$
108.a1 108.a \( 2^{2} \cdot 3^{3} \) $0$ $\mathsf{trivial}$ $-3$ $1$ $[0, 0, 0, 0, -108]$ \(y^2=x^3-108\) $[ ]$
109.a1 109.a \( 109 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -8, -7]$ \(y^2+xy=x^3-x^2-8x-7\) 436.2.0.? $[ ]$
110.a2 110.a \( 2 \cdot 5 \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, 296, 1702]$ \(y^2+xy+y=x^3+296x+1702\) 3.8.0-3.a.1.1, 440.2.0.?, 1320.16.0.? $[ ]$
110.b1 110.b \( 2 \cdot 5 \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, -5940, -178685]$ \(y^2+xy+y=x^3+x^2-5940x-178685\) 5.24.0-5.a.2.2, 440.48.1.? $[ ]$
110.c2 110.c \( 2 \cdot 5 \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 0, 9, -25]$ \(y^2+xy=x^3+9x-25\) 3.8.0-3.a.1.1, 440.2.0.?, 1320.16.0.? $[ ]$
115.a1 115.a \( 5 \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, 7, -11]$ \(y^2+y=x^3+7x-11\) 230.2.0.? $[ ]$
116.a1 116.a \( 2^{2} \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -4831, -129242]$ \(y^2=x^3-4831x-129242\) 116.2.0.? $[ ]$
116.b2 116.b \( 2^{2} \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 36, -76]$ \(y^2=x^3+x^2+36x-76\) 3.8.0-3.a.1.1, 116.2.0.?, 348.16.0.? $[ ]$
118.b1 118.b \( 2 \cdot 59 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, 56, -192]$ \(y^2+xy=x^3+x^2+56x-192\) 472.2.0.? $[ ]$
118.c2 118.c \( 2 \cdot 59 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, 115, -2481]$ \(y^2+xy+y=x^3+x^2+115x-2481\) 5.24.0-5.a.2.2, 118.2.0.?, 590.48.1.? $[ ]$
118.d1 118.d \( 2 \cdot 59 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, -4, -5]$ \(y^2+xy+y=x^3+x^2-4x-5\) 472.2.0.? $[ ]$
121.a1 121.a \( 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, -305, 7888]$ \(y^2+xy+y=x^3+x^2-305x+7888\) 4.2.0.a.1, 11.120.1-11.b.1.2, 44.240.6-44.b.1.6, 88.480.16.? $[ ]$
121.a2 121.a \( 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, -30, -76]$ \(y^2+xy+y=x^3+x^2-30x-76\) 4.2.0.a.1, 11.120.1-11.b.2.1, 44.240.6-44.b.2.6, 88.480.16.? $[ ]$
121.c1 121.c \( 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -3632, 82757]$ \(y^2+xy=x^3+x^2-3632x+82757\) 4.2.0.a.1, 8.4.0-4.a.1.1, 11.120.1-11.b.2.2, 44.240.6-44.b.2.5, 88.480.16.? $[ ]$
121.c2 121.c \( 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -2, -7]$ \(y^2+xy=x^3+x^2-2x-7\) 4.2.0.a.1, 8.4.0-4.a.1.1, 11.120.1-11.b.1.1, 44.240.6-44.b.1.5, 88.480.16.? $[ ]$
121.d1 121.d \( 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 1, -946260, 354609639]$ \(y^2+y=x^3-x^2-946260x+354609639\) 5.12.0.a.2, 10.24.0-5.a.2.2, 22.2.0.a.1, 25.60.0.a.2, 50.120.0-25.a.2.2, $\ldots$ $[ ]$
121.d2 121.d \( 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 1, -1250, 31239]$ \(y^2+y=x^3-x^2-1250x+31239\) 5.60.0.a.1, 10.120.0-5.a.1.1, 22.2.0.a.1, 55.120.0-5.a.1.1, 110.240.5.?, $\ldots$ $[ ]$
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