Cremona's table of elliptic curves

10304 = 2⁶ · 7 · 23

Class	r	Atkin-Lehner	Eigenvalues
10304a (2 curves)	1	2+ 7+ 23+	2+  0 -2 7+  0  4 -4  2
Curve Equation t Generators 10304a1 [0,0,0,-236,1584] 2 [5:23:1] 10304a2 [0,0,0,-3916,94320] 2 [8:252:1]
10304b (1 curve)	1	2+ 7+ 23+	2+ -3 -2 7+ -2  1  0 -2
Curve Equation t Generators 10304b1 [0,0,0,-33676,2413336] 1 [221:2401:1]
10304c (1 curve)	0	2+ 7+ 23-	2+ -1  2 7+  2  1  0  6
Curve Equation t 10304c1 [0,-1,0,23,-367] 1
10304d (2 curves)	0	2+ 7+ 23-	2+  2  2 7+  2  4 -6  0
Curve Equation t 10304d1 [0,-1,0,-897,2945] 2 10304d2 [0,-1,0,-11137,455553] 2
10304e (2 curves)	2	2+ 7+ 23-	2+ -2  0 7+ -4 -6  0  0
Curve Equation t Generators 10304e1 [0,1,0,-113,559] 2 [-5:32:1]&[3:16:1] 10304e2 [0,1,0,-1953,32575] 2 [-38:231:1]&[11:112:1]
10304f (1 curve)	0	2+ 7+ 23-	2+  3  0 7+  6 -1  0  0
Curve Equation t 10304f1 [0,0,0,97700,-297725608] 1
10304g (1 curve)	0	2+ 7+ 23-	2+  3  4 7+ -2 -5  0  4
Curve Equation t 10304g1 [0,0,0,212,-40] 1
10304h (4 curves)	2	2+ 7- 23+	2+  0 -2 7- -4 -6 -2 -4
Curve Equation t Generators 10304h1 [0,0,0,-236,-1360] 2 [-8:4:1]&[88:812:1] 10304h2 [0,0,0,-556,3120] 4 [-8:84:1]&[24:60:1] 10304h3 [0,0,0,-7916,271024] 2 [-74:672:1]&[-60:728:1] 10304h4 [0,0,0,1684,21936] 2 [-10:64:1]&[24:276:1]
10304i (1 curve)	0	2+ 7- 23+	2+  1  0 7-  2  3  0  0
Curve Equation t 10304i1 [0,1,0,7,-49] 1
10304j (2 curves)	0	2+ 7- 23+	2+ -2  0 7- -4  0  6  6
Curve Equation t 10304j1 [0,1,0,2207,188415] 2 10304j2 [0,1,0,-38753,2736127] 2
10304k (2 curves)	2	2+ 7- 23+	2+ -2 -4 7- -4  2 -4  0
Curve Equation t Generators 10304k1 [0,1,0,335,-1041] 2 [5:28:1]&[11:64:1] 10304k2 [0,1,0,-1505,-10241] 2 [-21:112:1]&[-14:91:1]
10304l (2 curves)	1	2+ 7- 23-	2+  0  2 7-  4 -4 -8  2
Curve Equation t Generators 10304l1 [0,0,0,-524,21488] 2 [-11:161:1] 10304l2 [0,0,0,-15244,722160] 2 [40:420:1]
10304m (1 curve)	1	2+ 7- 23-	2+ -1  0 7-  6  3  0  0
Curve Equation t Generators 10304m1 [0,-1,0,-113,505] 1 [8:7:1]
10304n (2 curves)	1	2+ 7- 23-	2+  2  0 7-  0  0 -6 -6
Curve Equation t Generators 10304n1 [0,-1,0,16767,117761] 2 [200:3381:1] 10304n2 [0,-1,0,-67873,1014945] 2 [-237:1932:1]
10304o (2 curves)	1	2+ 7- 23-	2+ -2  2 7- -6  4 -2 -4
Curve Equation t Generators 10304o1 [0,1,0,-257,1375] 2 [13:20:1] 10304o2 [0,1,0,-897,-8993] 2 [-21:32:1]
10304p (2 curves)	1	2+ 7- 23-	2+ -2 -2 7- -2 -4 -2  0
Curve Equation t Generators 10304p1 [0,1,0,-10529,412351] 2 [61:28:1] 10304p2 [0,1,0,-10689,399007] 2 [-21:784:1]
10304q (2 curves)	0	2- 7+ 23+	2-  0  2 7+ -4 -4 -8 -2
Curve Equation t 10304q1 [0,0,0,-524,-21488] 2 10304q2 [0,0,0,-15244,-722160] 2
10304r (1 curve)	0	2- 7+ 23+	2-  1  0 7+ -6  3  0  0
Curve Equation t 10304r1 [0,1,0,-113,-505] 1
10304s (2 curves)	0	2- 7+ 23+	2-  2  2 7+  6  4 -2  4
Curve Equation t 10304s1 [0,-1,0,-257,-1375] 2 10304s2 [0,-1,0,-897,8993] 2
10304t (2 curves)	0	2- 7+ 23+	2-  2 -2 7+  2 -4 -2  0
Curve Equation t 10304t1 [0,-1,0,-10529,-412351] 2 10304t2 [0,-1,0,-10689,-399007] 2
10304u (2 curves)	0	2- 7+ 23+	2- -2  0 7+  0  0 -6  6
Curve Equation t 10304u1 [0,1,0,16767,-117761] 2 10304u2 [0,1,0,-67873,-1014945] 2
10304v (2 curves)	0	2- 7+ 23+	2- -2  4 7+ -4 -4 -6 -2
Curve Equation t 10304v1 [0,1,0,-1401,-21113] 2 10304v2 [0,1,0,-22561,-1311873] 2
10304w (4 curves)	1	2- 7+ 23-	2-  0 -2 7+  4 -6 -2  4
Curve Equation t Generators 10304w1 [0,0,0,-236,1360] 2 [12:16:1] 10304w2 [0,0,0,-556,-3120] 4 [44:240:1] 10304w3 [0,0,0,-7916,-271024] 2 [3396:22960:27] 10304w4 [0,0,0,1684,-21936] 2 [426:8832:1]
10304x (1 curve)	1	2- 7+ 23-	2- -1  0 7+ -2  3  0  0
Curve Equation t Generators 10304x1 [0,-1,0,7,49] 1 [0:7:1]
10304y (2 curves)	1	2- 7+ 23-	2-  2  0 7+  4  0  6 -6
Curve Equation t Generators 10304y1 [0,-1,0,2207,-188415] 2 [308094:11637701:216] 10304y2 [0,-1,0,-38753,-2736127] 2 [5707:430836:1]
10304z (2 curves)	1	2- 7+ 23-	2-  2 -4 7+  4  2 -4  0
Curve Equation t Generators 10304z1 [0,-1,0,335,1041] 2 [15:96:1] 10304z2 [0,-1,0,-1505,10241] 2 [957:352:27]
10304ba (2 curves)	1	2- 7+ 23-	2- -2  0 7+  4 -2  0 -4
Curve Equation t Generators 10304ba1 [0,1,0,-28,-66] 2 [13:44:1] 10304ba2 [0,1,0,7,-185] 2 [7:16:1]
10304bb (2 curves)	1	2- 7+ 23-	2- -2  2 7+ -2 -4 -6  4
Curve Equation t Generators 10304bb1 [0,1,0,-217,-1305] 2 [23:80:1] 10304bb2 [0,1,0,-257,-833] 2 [-11:28:1]
10304bc (1 curve)	1	2- 7- 23+	2-  1  2 7- -2  1  0 -6
Curve Equation t Generators 10304bc1 [0,1,0,23,367] 1 [-6:7:1]
10304bd (2 curves)	1	2- 7- 23+	2-  2  0 7-  4 -6  0  0
Curve Equation t Generators 10304bd1 [0,-1,0,-113,-559] 2 [175:2304:1] 10304bd2 [0,-1,0,-1953,-32575] 2 [129231:1656064:729]
10304be (2 curves)	1	2- 7- 23+	2-  2  0 7- -4 -2  0  4
Curve Equation t Generators 10304be1 [0,-1,0,-28,66] 2 [129:116:27] 10304be2 [0,-1,0,7,185] 2 [13:48:1]
10304bf (2 curves)	1	2- 7- 23+	2-  2  2 7-  2 -4 -6 -4
Curve Equation t Generators 10304bf1 [0,-1,0,-217,1305] 2 [27:120:1] 10304bf2 [0,-1,0,-257,833] 2 [1:24:1]
10304bg (2 curves)	1	2- 7- 23+	2- -2  2 7- -2  4 -6  0
Curve Equation t Generators 10304bg1 [0,1,0,-897,-2945] 2 [81:680:1] 10304bg2 [0,1,0,-11137,-455553] 2 [287:4480:1]
10304bh (1 curve)	1	2- 7- 23+	2- -3  0 7- -6 -1  0  0
Curve Equation t Generators 10304bh1 [0,0,0,97700,297725608] 1 [8781:823543:1]
10304bi (1 curve)	1	2- 7- 23+	2- -3  4 7-  2 -5  0 -4
Curve Equation t Generators 10304bi1 [0,0,0,212,40] 1 [5:35:1]
10304bj (2 curves)	0	2- 7- 23-	2-  0 -2 7-  0  4 -4 -2
Curve Equation t 10304bj1 [0,0,0,-236,-1584] 2 10304bj2 [0,0,0,-3916,-94320] 2
10304bk (2 curves)	0	2- 7- 23-	2-  2  4 7-  4 -4 -6  2
Curve Equation t 10304bk1 [0,-1,0,-1401,21113] 2 10304bk2 [0,-1,0,-22561,1311873] 2
10304bl (1 curve)	0	2- 7- 23-	2-  3 -2 7-  2  1  0  2
Curve Equation t 10304bl1 [0,0,0,-33676,-2413336] 1

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