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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-mm images
234.a1 234.a 23213 2 \cdot 3^{2} \cdot 13 11 Z/2Z\Z/2\Z 0.1385798560.138579856 [1,1,0,63,209][1, -1, 0, -63, 209] y2+xy=x3x263x+209y^2+xy=x^3-x^2-63x+209 2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.?
234.a2 234.a 23213 2 \cdot 3^{2} \cdot 13 11 Z/2Z\Z/2\Z 0.2771597120.277159712 [1,1,0,3,5][1, -1, 0, -3, 5] y2+xy=x3x23x+5y^2+xy=x^3-x^2-3x+5 2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.?
234.b1 234.b 23213 2 \cdot 3^{2} \cdot 13 00 trivial\mathsf{trivial} 11 [1,1,0,1914,35846][1, -1, 0, -1914, 35846] y2+xy=x3x21914x+35846y^2+xy=x^3-x^2-1914x+35846 7.24.0.a.2, 21.48.0-7.a.2.2, 104.2.0.?, 728.48.2.?, 2184.96.2.?
234.b2 234.b 23213 2 \cdot 3^{2} \cdot 13 00 trivial\mathsf{trivial} 11 [1,1,0,24,64][1, -1, 0, -24, -64] y2+xy=x3x224x64y^2+xy=x^3-x^2-24x-64 7.24.0.a.1, 21.48.0-7.a.1.2, 104.2.0.?, 728.48.2.?, 2184.96.2.?
234.c1 234.c 23213 2 \cdot 3^{2} \cdot 13 00 Z/2Z\Z/2\Z 11 [1,1,1,186656,30992493][1, -1, 1, -186656, -30992493] y2+xy+y=x3x2186656x30992493y^2+xy+y=x^3-x^2-186656x-30992493 2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 104.24.0.?, 312.48.0.?
234.c2 234.c 23213 2 \cdot 3^{2} \cdot 13 00 Z/2Z\Z/2\Z 11 [1,1,1,21056,404115][1, -1, 1, -21056, 404115] y2+xy+y=x3x221056x+404115y^2+xy+y=x^3-x^2-21056x+404115 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.ba.1.12, \ldots
234.c3 234.c 23213 2 \cdot 3^{2} \cdot 13 00 Z/2ZZ/2Z\Z/2\Z\oplus\Z/2\Z 11 [1,1,1,11696,479469][1, -1, 1, -11696, -479469] y2+xy+y=x3x211696x479469y^2+xy+y=x^3-x^2-11696x-479469 2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.2, 52.24.0-52.b.1.3, 156.48.0.?
234.c4 234.c 23213 2 \cdot 3^{2} \cdot 13 00 Z/4Z\Z/4\Z 11 [1,1,1,176,18669][1, -1, 1, -176, -18669] y2+xy+y=x3x2176x18669y^2+xy+y=x^3-x^2-176x-18669 2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.8, 78.6.0.?, 104.24.0.?, \ldots
234.d1 234.d 23213 2 \cdot 3^{2} \cdot 13 00 Z/2Z\Z/2\Z 11 [1,1,1,569,5075][1, -1, 1, -569, -5075] y2+xy+y=x3x2569x5075y^2+xy+y=x^3-x^2-569x-5075 2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.?
234.d2 234.d 23213 2 \cdot 3^{2} \cdot 13 00 Z/2Z\Z/2\Z 11 [1,1,1,29,107][1, -1, 1, -29, -107] y2+xy+y=x3x229x107y^2+xy+y=x^3-x^2-29x-107 2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.?
234.e1 234.e 23213 2 \cdot 3^{2} \cdot 13 00 Z/3Z\Z/3\Z 11 [1,1,1,4136,103403][1, -1, 1, -4136, 103403] y2+xy+y=x3x24136x+103403y^2+xy+y=x^3-x^2-4136x+103403 3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 104.2.0.?, 117.72.0.?, 312.16.0.?, \ldots
234.e2 234.e 23213 2 \cdot 3^{2} \cdot 13 00 Z/3Z\Z/3\Z 11 [1,1,1,41,209][1, -1, 1, -41, 209] y2+xy+y=x3x241x+209y^2+xy+y=x^3-x^2-41x+209 3.24.0-3.a.1.1, 104.2.0.?, 117.72.0.?, 312.48.1.?, 936.144.3.?
234.e3 234.e 23213 2 \cdot 3^{2} \cdot 13 00 trivial\mathsf{trivial} 11 [1,1,1,4,7][1, -1, 1, 4, -7] y2+xy+y=x3x2+4x7y^2+xy+y=x^3-x^2+4x-7 3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 104.2.0.?, 117.72.0.?, 312.16.0.?, \ldots
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