Cremona's table of elliptic curves

78416 = 2⁴ · 13² · 29

Class	r	Atkin-Lehner	Eigenvalues
78416a (2 curves)	1	2+ 13+ 29+	2+  0 -2  4 -2 13+  2  2
Curve Equation t Generators 78416a1 [0,0,0,-2366,32955] 2 [7527:653016:1] 78416a2 [0,0,0,-13351,-566826] 2 [-1482:676:27]
78416b (1 curve)	1	2+ 13+ 29+	2+  1  3  2 -3 13+ -4  0
Curve Equation t Generators 78416b1 [0,1,0,1296,3524] 1 [22520:309158:125]
78416c (1 curve)	1	2+ 13+ 29+	2+ -1 -1  2  3 13+  0  0
Curve Equation t Generators 78416c1 [0,-1,0,-13576,613664] 1 [70:38:1]
78416d (1 curve)	1	2+ 13+ 29+	2+  3  1 -5  4 13+ -1 -4
Curve Equation t Generators 78416d1 [0,0,0,-27243307,54731562938] 1 [81363:-116:27]
78416e (2 curves)	2	2+ 13+ 29-	2+ -2  2  2 -4 13+ -6  0
Curve Equation t Generators 78416e1 [0,1,0,-21012,1164892] 2 [-126:1352:1]&[-18:1240:1] 78416e2 [0,1,0,-17632,1555620] 2 [96:870:1]&[160:1690:1]
78416f (2 curves)	2	2+ 13- 29+	2+  0  0  2 -4 13-  2 -4
Curve Equation t Generators 78416f1 [0,0,0,-130,507] 2 [3:12:1]&[39:234:1] 78416f2 [0,0,0,-2015,34814] 2 [13:104:1]&[22958:3478566:1]
78416g (2 curves)	0	2+ 13- 29+	2+  0  0 -2  4 13-  2  4
Curve Equation t 78416g1 [0,0,0,-21970,1113879] 2 78416g2 [0,0,0,-340535,76486358] 2
78416h (2 curves)	0	2+ 13- 29+	2+  2  0  4  4 13-  2 -4
Curve Equation t 78416h1 [0,-1,0,-108,-352] 2 78416h2 [0,-1,0,152,-2016] 2
78416i (2 curves)	0	2+ 13- 29+	2+  2  0 -4 -4 13-  2  4
Curve Equation t 78416i1 [0,-1,0,-18308,-846496] 2 78416i2 [0,-1,0,25632,-4326544] 2
78416j (2 curves)	0	2- 13+ 29+	2-  1 -1 -2 -3 13+  8  0
Curve Equation t 78416j1 [0,1,0,13464,-994252] 1 78416j2 [0,1,0,-1230376,528448948] 1
78416k (2 curves)	0	2- 13+ 29+	2- -1 -3 -1  0 13+  3  8
Curve Equation t 78416k1 [0,-1,0,-1018112,-395278976] 1 78416k2 [0,-1,0,915248,-1648799296] 1
78416l (2 curves)	0	2- 13+ 29+	2- -1 -3 -4  3 13+ -6 -4
Curve Equation t 78416l1 [0,-1,0,-732,-11636] 1 78416l2 [0,-1,0,6028,191164] 1
78416m (2 curves)	0	2- 13+ 29+	2- -2  2  4 -6 13+  2 -6
Curve Equation t 78416m1 [0,1,0,-1577,-24530] 2 78416m2 [0,1,0,-732,-49880] 2
78416n (1 curve)	0	2- 13+ 29+	2- -2  3  0  2 13+ -6  2
Curve Equation t 78416n1 [0,1,0,-69,-77] 1
78416o (1 curve)	0	2- 13+ 29+	2- -2 -3  0 -2 13+ -6 -2
Curve Equation t 78416o1 [0,1,0,-11717,-122381] 1
78416p (1 curve)	0	2- 13+ 29+	2-  3  3 -2 -1 13+ -4 -8
Curve Equation t 78416p1 [0,0,0,-3211,-101062] 1
78416q (1 curve)	0	2- 13+ 29+	2-  3 -3  4 -1 13+  2  4
Curve Equation t 78416q1 [0,0,0,-816439,283944674] 1
78416r (4 curves)	1	2- 13+ 29-	2-  0  2  0 -4 13+  2 -4
Curve Equation t Generators 78416r1 [0,0,0,-22139,-1261078] 2 [1378:1521:8] 78416r2 [0,0,0,-35659,461370] 4 [122330:42785730:1] 78416r3 [0,0,0,140101,3660202] 4 [-18107190:-296115877:729000] 78416r4 [0,0,0,-427739,107499210] 2 [365:40:1]
78416s (1 curve)	1	2- 13+ 29-	2- -1 -1 -1 -6 13+ -7 -2
Curve Equation t Generators 78416s1 [0,-1,0,-29088336,-60403474496] 1 [11202:1009606:1]
78416t (1 curve)	1	2- 13+ 29-	2- -1  3 -3 -4 13+ -1  0
Curve Equation t Generators 78416t1 [0,-1,0,116216,4823792] 1 [724:21632:1]
78416u (2 curves)	1	2- 13+ 29-	2-  2  2  2  0 13+  2  4
Curve Equation t Generators 78416u1 [0,-1,0,-17632,738048] 2 [38526:388531:216] 78416u2 [0,-1,0,36448,4328960] 2 [141326826:4361055985:1481544]
78416v (2 curves)	1	2- 13- 29+	2-  0  0  2  0 13- -6  8
Curve Equation t Generators 78416v1 [0,0,0,-1235,11154] 2 [78:624:1] 78416v2 [0,0,0,-17875,919698] 2 [-39:1248:1]
78416w (2 curves)	1	2- 13- 29+	2-  0  0 -2  0 13- -6 -8
Curve Equation t Generators 78416w1 [0,0,0,-208715,24505338] 2 [-28749:2207232:343] 78416w2 [0,0,0,-3020875,2020576506] 2 [965:2016:1]

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