Cremona's table of elliptic curves

23104 = 2⁶ · 19²

Class	r	Atkin-Lehner	Eigenvalues
23104a (2 curves)	1	2+ 19+	2+  0  1  3  5  0 -7 19+
Curve Equation t Generators 23104a1 [0,0,0,-152,722] 1 [7:1:1] 23104a2 [0,0,0,-54872,-4952198] 1 [235092118023:-8245366935161:184220009]
23104b (1 curve)	1	2+ 19+	2+  1  1  0  4  1  3 19+
Curve Equation t Generators 23104b1 [0,1,0,-9145,267247] 1 [4170:2527:125]
23104c (2 curves)	1	2+ 19+	2+ -1  0 -4 -3 -2 -6 19+
Curve Equation t Generators 23104c1 [0,-1,0,45727,-8278559] 1 [200:2971:1] 23104c2 [0,-1,0,-2149153,-1214145631] 1 [2011563976:343208758339:68921]
23104d (1 curve)	1	2+ 19+	2+ -1 -3  0  4  5 -5 19+
Curve Equation t Generators 23104d1 [0,-1,0,-612737,184816009] 1 [264:6433:1]
23104e (1 curve)	1	2+ 19+	2+ -1  4  0 -3 -2  2 19+
Curve Equation t Generators 23104e1 [0,-1,0,-481,-7327] 1 [32:95:1]
23104f (1 curve)	1	2+ 19+	2+  3 -2  2 -3 -2 -6 19+
Curve Equation t Generators 23104f1 [0,0,0,-27436,-2085136] 1 [19900831006797:508511926571221:28568426193]
23104g (1 curve)	1	2+ 19+	2+  3 -2 -3  2 -3 -1 19+
Curve Equation t Generators 23104g1 [0,0,0,-76,-5776] 1 [570:1216:27]
23104h (1 curve)	1	2+ 19+	2+ -3 -2 -2  3 -2 -6 19+
Curve Equation t Generators 23104h1 [0,0,0,-27436,2085136] 1 [0:1444:1]
23104i (1 curve)	1	2+ 19+	2+ -3 -2 -3  2  3 -1 19+
Curve Equation t Generators 23104i1 [0,0,0,-27436,39617584] 1 [1444:54872:1]
23104j (1 curve)	0	2+ 19-	2+  0  1  1  3 -4 -3 19-
Curve Equation t 23104j1 [0,0,0,-722,13718] 1
23104k (1 curve)	2	2+ 19-	2+  0  1 -1 -3 -4 -3 19-
Curve Equation t Generators 23104k1 [0,0,0,-722,-13718] 1 [57:361:1]&[1938:29963:8]
23104l (3 curves)	0	2+ 19-	2+  1  0 -1  6  5  3 19-
Curve Equation t 23104l1 [0,1,0,-358593,-82797409] 1 23104l2 [0,1,0,219007,-314091553] 1 23104l3 [0,1,0,-1975873,8598438175] 1
23104m (1 curve)	0	2+ 19-	2+  1  0  3 -2  1 -5 19-
Curve Equation t 23104m1 [0,1,0,-12033,723551] 1
23104n (2 curves)	2	2+ 19-	2+  1  0 -4 -3  2 -6 19-
Curve Equation t Generators 23104n1 [0,1,0,127,1247] 1 [11:64:1]&[26:151:1] 23104n2 [0,1,0,-5953,175135] 1 [-69:512:1]&[42:31:1]
23104o (1 curve)	0	2+ 19-	2+  1 -3  0  4 -5 -5 19-
Curve Equation t 23104o1 [0,1,0,-1697,-27481] 1
23104p (1 curve)	0	2+ 19-	2+  1  4  0 -3  2  2 19-
Curve Equation t 23104p1 [0,1,0,-173761,51298207] 1
23104q (1 curve)	0	2+ 19-	2+ -1  1  0  4 -1  3 19-
Curve Equation t 23104q1 [0,-1,0,-25,-31] 1
23104r (2 curves)	0	2+ 19-	2+ -1  4  3 -2 -1  3 19-
Curve Equation t 23104r1 [0,-1,0,-481,-4166047] 1 23104r2 [0,-1,0,-1617761,877251553] 1
23104s (1 curve)	0	2+ 19-	2+  2  1 -3 -5 -4 -3 19-
Curve Equation t 23104s1 [0,-1,0,-30805,2099469] 1
23104t (1 curve)	0	2+ 19-	2+ -2  1 -3  3 -4  5 19-
Curve Equation t 23104t1 [0,1,0,-1925,-187613] 1
23104u (3 curves)	2	2+ 19-	2+ -2 -3 -1 -3 -4 -3 19-
Curve Equation t Generators 23104u1 [0,1,0,963,829] 1 [4:69:1]&[44:361:1] 23104u2 [0,1,0,-13477,636189] 1 [68:197:1]&[-902:6859:8] 23104u3 [0,1,0,-1110917,450312229] 1 [-564:29963:1]&[604:179:1]
23104v (1 curve)	0	2+ 19-	2+  3 -2 -2  3  2 -6 19-
Curve Equation t 23104v1 [0,0,0,-76,-304] 1
23104w (1 curve)	2	2+ 19-	2+ -3 -2  2 -3  2 -6 19-
Curve Equation t Generators 23104w1 [0,0,0,-76,304] 1 [-10:8:1]&[4:8:1]
23104x (2 curves)	2	2- 19+	2-  0  1 -3 -5  0 -7 19+
Curve Equation t Generators 23104x1 [0,0,0,-152,-722] 1 [19:57:1]&[99:977:1] 23104x2 [0,0,0,-54872,4952198] 1 [139:103:1]&[722:6859:8]
23104y (2 curves)	0	2- 19+	2-  0  2  0  0  4 -2 19+
Curve Equation t 23104y1 [0,0,0,-6859,0] 2 23104y2 [0,0,0,27436,0] 2
23104z (2 curves)	0	2- 19+	2-  0  2  0  0 -4 -2 19+
Curve Equation t 23104z1 [0,0,0,-19,0] 2 23104z2 [0,0,0,76,0] 2
23104ba (2 curves)	0	2- 19+	2-  1  0  4  3 -2 -6 19+
Curve Equation t 23104ba1 [0,1,0,45727,8278559] 1 23104ba2 [0,1,0,-2149153,1214145631] 1
23104bb (1 curve)	0	2- 19+	2-  1 -3  0 -4  5 -5 19+
Curve Equation t 23104bb1 [0,1,0,-612737,-184816009] 1
23104bc (1 curve)	0	2- 19+	2-  1  4  0  3 -2  2 19+
Curve Equation t 23104bc1 [0,1,0,-481,7327] 1
23104bd (1 curve)	0	2- 19+	2- -1  1  0 -4  1  3 19+
Curve Equation t 23104bd1 [0,-1,0,-9145,-267247] 1
23104be (1 curve)	0	2- 19+	2-  2 -3  3  1  0 -3 19+
Curve Equation t 23104be1 [0,-1,0,13,-31] 1
23104bf (1 curve)	2	2- 19+	2-  2 -3 -3 -1  0 -3 19+
Curve Equation t Generators 23104bf1 [0,-1,0,4573,-184939] 1 [11956:1307277:1]&[1092:6859:27]
23104bg (1 curve)	0	2- 19+	2- -2 -3  3  1  0 -3 19+
Curve Equation t 23104bg1 [0,1,0,4573,184939] 1
23104bh (1 curve)	2	2- 19+	2- -2 -3 -3 -1  0 -3 19+
Curve Equation t Generators 23104bh1 [0,1,0,13,31] 1 [-2:1:1]&[6:19:1]
23104bi (1 curve)	0	2- 19+	2-  3  2  3  6 -5  7 19+
Curve Equation t 23104bi1 [0,0,0,-12844,-560272] 1
23104bj (1 curve)	0	2- 19+	2-  3  2 -3 -6  5  7 19+
Curve Equation t 23104bj1 [0,0,0,-4636684,-3842905648] 1
23104bk (1 curve)	0	2- 19+	2-  3 -2  3 -2  3 -1 19+
Curve Equation t 23104bk1 [0,0,0,-27436,-39617584] 1
23104bl (1 curve)	0	2- 19+	2- -3  2  3  6  5  7 19+
Curve Equation t 23104bl1 [0,0,0,-4636684,3842905648] 1
23104bm (1 curve)	2	2- 19+	2- -3  2 -3 -6 -5  7 19+
Curve Equation t Generators 23104bm1 [0,0,0,-12844,560272] 1 [66:-8:1]&[-19:893:1]
23104bn (1 curve)	2	2- 19+	2- -3 -2  3 -2 -3 -1 19+
Curve Equation t Generators 23104bn1 [0,0,0,-76,5776] 1 [-19:19:1]&[-14:64:1]
23104bo (4 curves)	1	2- 19-	2-  0  2  0  0  6  2 19-
Curve Equation t Generators 23104bo1 [0,0,0,361,0] 2 [201577500:-1399117850:21717639] 23104bo2 [0,0,0,-1444,0] 4 [-17298:105400:729] 23104bo3 [0,0,0,-15884,-768208] 2 [-803198475:398664433:11390625] 23104bo4 [0,0,0,-15884,768208] 2 [-86:1224:1]
23104bp (1 curve)	1	2- 19-	2-  0 -3  5 -5 -4 -3 19-
Curve Equation t Generators 23104bp1 [0,0,0,-5054,-4156554] 1 [27713:4613429:1]
23104bq (1 curve)	1	2- 19-	2-  0 -3 -5  5 -4 -3 19-
Curve Equation t Generators 23104bq1 [0,0,0,-5054,4156554] 1 [4484:130321:64]
23104br (1 curve)	1	2- 19-	2-  1  1  0 -4 -1  3 19-
Curve Equation t Generators 23104br1 [0,1,0,-25,31] 1 [-6:1:1]
23104bs (2 curves)	1	2- 19-	2-  1  4 -3  2 -1  3 19-
Curve Equation t Generators 23104bs1 [0,1,0,-481,4166047] 1 [183:3200:1] 23104bs2 [0,1,0,-1617761,-877251553] 1 [229686439:49644557600:4913]
23104bt (3 curves)	1	2- 19-	2- -1  0  1 -6  5  3 19-
Curve Equation t Generators 23104bt1 [0,-1,0,-358593,82797409] 1 [336:361:1] 23104bt2 [0,-1,0,219007,314091553] 1 [3984:253783:1] 23104bt3 [0,-1,0,-1975873,-8598438175] 1 [5556848:314704277:1331]
23104bu (1 curve)	1	2- 19-	2- -1  0 -3  2  1 -5 19-
Curve Equation t Generators 23104bu1 [0,-1,0,-12033,-723551] 1 [184:1805:1]
23104bv (2 curves)	1	2- 19-	2- -1  0  4  3  2 -6 19-
Curve Equation t Generators 23104bv1 [0,-1,0,127,-1247] 1 [39:248:1] 23104bv2 [0,-1,0,-5953,-175135] 1 [220051:1038376:2197]
23104bw (1 curve)	1	2- 19-	2- -1 -3  0 -4 -5 -5 19-
Curve Equation t Generators 23104bw1 [0,-1,0,-1697,27481] 1 [24:1:1]
23104bx (1 curve)	1	2- 19-	2- -1  4  0  3  2  2 19-
Curve Equation t Generators 23104bx1 [0,-1,0,-173761,-51298207] 1 [33799052669904743:1204789326433101560:23810817080609]
23104by (1 curve)	1	2- 19-	2-  2  1  3 -3 -4  5 19-
Curve Equation t Generators 23104by1 [0,-1,0,-1925,187613] 1 [-764:29241:64]
23104bz (3 curves)	1	2- 19-	2-  2 -3  1  3 -4 -3 19-
Curve Equation t Generators 23104bz1 [0,-1,0,963,-829] 1 [86:843:1] 23104bz2 [0,-1,0,-13477,-636189] 1 [52851270:57702507:389017] 23104bz3 [0,-1,0,-1110917,-450312229] 1 [22469223997643025932874182:219911539875530199402232911:17818808681499482606741]
23104ca (1 curve)	1	2- 19-	2- -2  1  3  5 -4 -3 19-
Curve Equation t Generators 23104ca1 [0,1,0,-30805,-2099469] 1 [54116:1537499:64]
23104cb (1 curve)	1	2- 19-	2-  3  0 -1 -2 -1  3 19-
Curve Equation t Generators 23104cb1 [0,0,0,7220,-109744] 1 [399:361:27]
23104cc (1 curve)	1	2- 19-	2- -3  0  1  2 -1  3 19-
Curve Equation t Generators 23104cc1 [0,0,0,7220,109744] 1 [190:2888:1]

Data from Elliptic Curve Data by J. E. Cremona.
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