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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
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.? $[ ]$
464.c2 464.c \( 2^{4} \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 36, 76]$ \(y^2=x^3-x^2+36x+76\) 3.4.0.a.1, 12.8.0-3.a.1.2, 116.2.0.?, 174.8.0.?, 348.16.0.? $[ ]$
1044.b2 1044.b \( 2^{2} \cdot 3^{2} \cdot 29 \) $0$ $\Z/3\Z$ $1$ $[0, 0, 0, 321, 2374]$ \(y^2=x^3+321x+2374\) 3.8.0-3.a.1.2, 116.2.0.?, 348.16.0.? $[ ]$
1856.d2 1856.d \( 2^{6} \cdot 29 \) $2$ $\mathsf{trivial}$ $0.231052836$ $[0, -1, 0, 143, -751]$ \(y^2=x^3-x^2+143x-751\) 3.4.0.a.1, 24.8.0-3.a.1.1, 116.2.0.?, 348.8.0.?, 696.16.0.? $[(37, 232), (13, 56)]$
1856.i2 1856.i \( 2^{6} \cdot 29 \) $1$ $\mathsf{trivial}$ $0.462357668$ $[0, 1, 0, 143, 751]$ \(y^2=x^3+x^2+143x+751\) 3.4.0.a.1, 24.8.0-3.a.1.3, 116.2.0.?, 348.8.0.?, 696.16.0.? $[(21, 116)]$
2900.b2 2900.b \( 2^{2} \cdot 5^{2} \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 892, -11288]$ \(y^2=x^3-x^2+892x-11288\) 3.4.0.a.1, 15.8.0-3.a.1.1, 116.2.0.?, 348.8.0.?, 1740.16.0.? $[ ]$
3364.b2 3364.b \( 2^{2} \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 29996, -2154424]$ \(y^2=x^3-x^2+29996x-2154424\) 3.4.0.a.1, 12.8.0-3.a.1.4, 87.8.0.?, 116.2.0.?, 348.16.0.? $[ ]$
4176.f2 4176.f \( 2^{4} \cdot 3^{2} \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 321, -2374]$ \(y^2=x^3+321x-2374\) 3.4.0.a.1, 12.8.0-3.a.1.1, 116.2.0.?, 174.8.0.?, 348.16.0.? $[ ]$
5684.d2 5684.d \( 2^{2} \cdot 7^{2} \cdot 29 \) $1$ $\mathsf{trivial}$ $2.053715446$ $[0, -1, 0, 1748, 29576]$ \(y^2=x^3-x^2+1748x+29576\) 3.4.0.a.1, 21.8.0-3.a.1.2, 116.2.0.?, 348.8.0.?, 2436.16.0.? $[(5, 196)]$
11600.t2 11600.t \( 2^{4} \cdot 5^{2} \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 892, 11288]$ \(y^2=x^3+x^2+892x+11288\) 3.4.0.a.1, 60.8.0-3.a.1.1, 116.2.0.?, 348.8.0.?, 870.8.0.?, $\ldots$ $[ ]$
13456.m2 13456.m \( 2^{4} \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 29996, 2154424]$ \(y^2=x^3+x^2+29996x+2154424\) 3.4.0.a.1, 6.8.0-3.a.1.2, 116.2.0.?, 348.16.0.? $[ ]$
14036.f2 14036.f \( 2^{2} \cdot 11^{2} \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 4316, 118468]$ \(y^2=x^3+x^2+4316x+118468\) 3.4.0.a.1, 33.8.0-3.a.1.1, 116.2.0.?, 348.8.0.?, 3828.16.0.? $[ ]$
16704.cu2 16704.cu \( 2^{6} \cdot 3^{2} \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 1284, 18992]$ \(y^2=x^3+1284x+18992\) 3.4.0.a.1, 24.8.0-3.a.1.2, 116.2.0.?, 348.8.0.?, 696.16.0.? $[ ]$
16704.cz2 16704.cz \( 2^{6} \cdot 3^{2} \cdot 29 \) $1$ $\mathsf{trivial}$ $6.351388886$ $[0, 0, 0, 1284, -18992]$ \(y^2=x^3+1284x-18992\) 3.4.0.a.1, 24.8.0-3.a.1.4, 116.2.0.?, 348.8.0.?, 696.16.0.? $[(444/5, 12128/5)]$
19604.b2 19604.b \( 2^{2} \cdot 13^{2} \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 6028, -191164]$ \(y^2=x^3+x^2+6028x-191164\) 3.4.0.a.1, 39.8.0-3.a.1.2, 116.2.0.?, 348.8.0.?, 4524.16.0.? $[ ]$
22736.v2 22736.v \( 2^{4} \cdot 7^{2} \cdot 29 \) $1$ $\mathsf{trivial}$ $4.179262296$ $[0, 1, 0, 1748, -29576]$ \(y^2=x^3+x^2+1748x-29576\) 3.4.0.a.1, 84.8.0.?, 116.2.0.?, 348.8.0.?, 1218.8.0.?, $\ldots$ $[(151/3, 1862/3)]$
26100.bh2 26100.bh \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 8025, 296750]$ \(y^2=x^3+8025x+296750\) 3.4.0.a.1, 15.8.0-3.a.1.2, 116.2.0.?, 348.8.0.?, 1740.16.0.? $[ ]$
30276.b2 30276.b \( 2^{2} \cdot 3^{2} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $5.390735819$ $[0, 0, 0, 269961, 57899486]$ \(y^2=x^3+269961x+57899486\) 3.4.0.a.1, 12.8.0-3.a.1.3, 87.8.0.?, 116.2.0.?, 348.16.0.? $[(-406/11, 10048268/11)]$
33524.b2 33524.b \( 2^{2} \cdot 17^{2} \cdot 29 \) $1$ $\mathsf{trivial}$ $2.070885198$ $[0, -1, 0, 10308, -435416]$ \(y^2=x^3-x^2+10308x-435416\) 3.4.0.a.1, 51.8.0-3.a.1.1, 116.2.0.?, 348.8.0.?, 5916.16.0.? $[(57, 578)]$
41876.d2 41876.d \( 2^{2} \cdot 19^{2} \cdot 29 \) $2$ $\mathsf{trivial}$ $0.621771179$ $[0, -1, 0, 12876, 598792]$ \(y^2=x^3-x^2+12876x+598792\) 3.4.0.a.1, 57.8.0-3.a.1.2, 116.2.0.?, 348.8.0.?, 6612.16.0.? $[(754, 20938), (-6, 722)]$
46400.s2 46400.s \( 2^{6} \cdot 5^{2} \cdot 29 \) $1$ $\mathsf{trivial}$ $1.352961185$ $[0, -1, 0, 3567, 86737]$ \(y^2=x^3-x^2+3567x+86737\) 3.4.0.a.1, 116.2.0.?, 120.8.0.?, 348.8.0.?, 3480.16.0.? $[(-9, 232)]$
46400.ca2 46400.ca \( 2^{6} \cdot 5^{2} \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 3567, -86737]$ \(y^2=x^3+x^2+3567x-86737\) 3.4.0.a.1, 116.2.0.?, 120.8.0.?, 348.8.0.?, 3480.16.0.? $[ ]$
51156.ba2 51156.ba \( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 29 \) $1$ $\mathsf{trivial}$ $1.382190108$ $[0, 0, 0, 15729, -814282]$ \(y^2=x^3+15729x-814282\) 3.4.0.a.1, 21.8.0-3.a.1.1, 116.2.0.?, 348.8.0.?, 2436.16.0.? $[(182, 2842)]$
53824.l2 53824.l \( 2^{6} \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 119983, 17115409]$ \(y^2=x^3-x^2+119983x+17115409\) 3.4.0.a.1, 24.8.0-3.a.1.5, 116.2.0.?, 348.8.0.?, 696.16.0.? $[ ]$
53824.x2 53824.x \( 2^{6} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $1.247104925$ $[0, 1, 0, 119983, -17115409]$ \(y^2=x^3+x^2+119983x-17115409\) 3.4.0.a.1, 24.8.0-3.a.1.7, 116.2.0.?, 348.8.0.?, 696.16.0.? $[(2839/3, 195112/3)]$
56144.e2 56144.e \( 2^{4} \cdot 11^{2} \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 4316, -118468]$ \(y^2=x^3-x^2+4316x-118468\) 3.4.0.a.1, 116.2.0.?, 132.8.0.?, 348.8.0.?, 1914.8.0.?, $\ldots$ $[ ]$
61364.c2 61364.c \( 2^{2} \cdot 23^{2} \cdot 29 \) $1$ $\mathsf{trivial}$ $10.91376469$ $[0, 1, 0, 18868, 1076084]$ \(y^2=x^3+x^2+18868x+1076084\) 3.4.0.a.1, 69.8.0-3.a.1.1, 116.2.0.?, 348.8.0.?, 8004.16.0.? $[(-200093/87, 492565654/87)]$
78416.e2 78416.e \( 2^{4} \cdot 13^{2} \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 6028, 191164]$ \(y^2=x^3-x^2+6028x+191164\) 3.4.0.a.1, 116.2.0.?, 156.8.0.?, 348.8.0.?, 2262.8.0.?, $\ldots$ $[ ]$
84100.e2 84100.e \( 2^{2} \cdot 5^{2} \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 749892, -267803212]$ \(y^2=x^3+x^2+749892x-267803212\) 3.4.0.a.1, 60.8.0-3.a.1.3, 116.2.0.?, 348.8.0.?, 435.8.0.?, $\ldots$ $[ ]$
90944.by2 90944.by \( 2^{6} \cdot 7^{2} \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 6991, -243599]$ \(y^2=x^3-x^2+6991x-243599\) 3.4.0.a.1, 116.2.0.?, 168.8.0.?, 348.8.0.?, 4872.16.0.? $[ ]$
90944.dn2 90944.dn \( 2^{6} \cdot 7^{2} \cdot 29 \) $1$ $\mathsf{trivial}$ $0.972290718$ $[0, 1, 0, 6991, 243599]$ \(y^2=x^3+x^2+6991x+243599\) 3.4.0.a.1, 116.2.0.?, 168.8.0.?, 348.8.0.?, 4872.16.0.? $[(-25, 232)]$
104400.t2 104400.t \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 8025, -296750]$ \(y^2=x^3+8025x-296750\) 3.4.0.a.1, 60.8.0-3.a.1.2, 116.2.0.?, 348.8.0.?, 870.8.0.?, $\ldots$ $[ ]$
111476.c2 111476.c \( 2^{2} \cdot 29 \cdot 31^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 34276, 2607976]$ \(y^2=x^3-x^2+34276x+2607976\) 3.4.0.a.1, 93.8.0.?, 116.2.0.?, 348.8.0.?, 10788.16.0.? $[ ]$
121104.f2 121104.f \( 2^{4} \cdot 3^{2} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $9.898423988$ $[0, 0, 0, 269961, -57899486]$ \(y^2=x^3+269961x-57899486\) 3.4.0.a.1, 6.8.0-3.a.1.1, 116.2.0.?, 348.16.0.? $[(6475642/51, 16803484442/51)]$
126324.c2 126324.c \( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 38841, -3159794]$ \(y^2=x^3+38841x-3159794\) 3.4.0.a.1, 33.8.0-3.a.1.2, 116.2.0.?, 348.8.0.?, 3828.16.0.? $[ ]$
134096.u2 134096.u \( 2^{4} \cdot 17^{2} \cdot 29 \) $1$ $\mathsf{trivial}$ $2.225148868$ $[0, 1, 0, 10308, 435416]$ \(y^2=x^3+x^2+10308x+435416\) 3.4.0.a.1, 116.2.0.?, 204.8.0.?, 348.8.0.?, 2958.8.0.?, $\ldots$ $[(643/3, 33524/3)]$
142100.be2 142100.be \( 2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) $1$ $\mathsf{trivial}$ $5.664675424$ $[0, 1, 0, 43692, 3784388]$ \(y^2=x^3+x^2+43692x+3784388\) 3.4.0.a.1, 105.8.0.?, 116.2.0.?, 348.8.0.?, 12180.16.0.? $[(4972, 350938)]$
158804.e2 158804.e \( 2^{2} \cdot 29 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $1.242903730$ $[0, 1, 0, 48828, -4437436]$ \(y^2=x^3+x^2+48828x-4437436\) 3.4.0.a.1, 111.8.0.?, 116.2.0.?, 348.8.0.?, 12876.16.0.? $[(160, 2738)]$
164836.i2 164836.i \( 2^{2} \cdot 7^{2} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $1.590100147$ $[0, 1, 0, 1469788, 736027844]$ \(y^2=x^3+x^2+1469788x+736027844\) 3.4.0.a.1, 84.8.0.?, 116.2.0.?, 348.8.0.?, 609.8.0.?, $\ldots$ $[(1556, 82418)]$
167504.s2 167504.s \( 2^{4} \cdot 19^{2} \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 12876, -598792]$ \(y^2=x^3+x^2+12876x-598792\) 3.4.0.a.1, 116.2.0.?, 228.8.0.?, 348.8.0.?, 3306.8.0.?, $\ldots$ $[ ]$
176436.ba2 176436.ba \( 2^{2} \cdot 3^{2} \cdot 13^{2} \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 54249, 5215678]$ \(y^2=x^3+54249x+5215678\) 3.4.0.a.1, 39.8.0-3.a.1.1, 116.2.0.?, 348.8.0.?, 4524.16.0.? $[ ]$
194996.b2 194996.b \( 2^{2} \cdot 29 \cdot 41^{2} \) $1$ $\mathsf{trivial}$ $7.372828078$ $[0, -1, 0, 59956, -6079928]$ \(y^2=x^3-x^2+59956x-6079928\) 3.4.0.a.1, 116.2.0.?, 123.8.0.?, 348.8.0.?, 14268.16.0.? $[(20329/15, 870758/15)]$
204624.fn2 204624.fn \( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 29 \) $1$ $\mathsf{trivial}$ $4.208695261$ $[0, 0, 0, 15729, 814282]$ \(y^2=x^3+15729x+814282\) 3.4.0.a.1, 84.8.0.?, 116.2.0.?, 348.8.0.?, 1218.8.0.?, $\ldots$ $[(1134/5, 159152/5)]$
214484.b2 214484.b \( 2^{2} \cdot 29 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 65948, 6968744]$ \(y^2=x^3-x^2+65948x+6968744\) 3.4.0.a.1, 116.2.0.?, 129.8.0.?, 348.8.0.?, 14964.16.0.? $[ ]$
224576.j2 224576.j \( 2^{6} \cdot 11^{2} \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 17263, 930481]$ \(y^2=x^3-x^2+17263x+930481\) 3.4.0.a.1, 116.2.0.?, 264.8.0.?, 348.8.0.?, 7656.16.0.? $[ ]$
224576.bk2 224576.bk \( 2^{6} \cdot 11^{2} \cdot 29 \) $1$ $\mathsf{trivial}$ $11.10529847$ $[0, 1, 0, 17263, -930481]$ \(y^2=x^3+x^2+17263x-930481\) 3.4.0.a.1, 116.2.0.?, 264.8.0.?, 348.8.0.?, 7656.16.0.? $[(60601/27, 20511352/27)]$
245456.f2 245456.f \( 2^{4} \cdot 23^{2} \cdot 29 \) $1$ $\mathsf{trivial}$ $6.252391688$ $[0, -1, 0, 18868, -1076084]$ \(y^2=x^3-x^2+18868x-1076084\) 3.4.0.a.1, 116.2.0.?, 276.8.0.?, 348.8.0.?, 4002.8.0.?, $\ldots$ $[(7361/7, 776572/7)]$
256244.b2 256244.b \( 2^{2} \cdot 29 \cdot 47^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 78788, 9154996]$ \(y^2=x^3+x^2+78788x+9154996\) 3.4.0.a.1, 116.2.0.?, 141.8.0.?, 348.8.0.?, 16356.16.0.? $[ ]$
301716.bb2 301716.bb \( 2^{2} \cdot 3^{2} \cdot 17^{2} \cdot 29 \) $1$ $\mathsf{trivial}$ $10.86178600$ $[0, 0, 0, 92769, 11663462]$ \(y^2=x^3+92769x+11663462\) 3.4.0.a.1, 51.8.0-3.a.1.2, 116.2.0.?, 348.8.0.?, 5916.16.0.? $[(662303/71, 1829189086/71)]$
313664.ba2 313664.ba \( 2^{6} \cdot 13^{2} \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 24111, -1553423]$ \(y^2=x^3-x^2+24111x-1553423\) 3.4.0.a.1, 116.2.0.?, 312.8.0.?, 348.8.0.?, 9048.16.0.? $[ ]$
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