Cremona's table of elliptic curves

10816 = 2⁶ · 13²

Class	r	Atkin-Lehner	Eigenvalues
10816a (2 curves)	1	2+ 13+	2+  0  1  4 -4 13+  3  0
Curve Equation t Generators 10816a1 [0,0,0,8788,1370928] 1 [1014:32448:1] 10816a2 [0,0,0,-4209452,-3325414352] 1 [281166314:7440715776:103823]
10816b (2 curves)	1	2+ 13+	2+  0 -1 -4  4 13+  3  0
Curve Equation t Generators 10816b1 [0,0,0,52,624] 1 [14:64:1] 10816b2 [0,0,0,-24908,-1513616] 1 [30870:339968:125]
10816c (2 curves)	1	2+ 13+	2+  0  2  2 -2 13+  6 -6
Curve Equation t Generators 10816c1 [0,0,0,-2704,-52728] 2 [6942:108836:27] 10816c2 [0,0,0,676,-175760] 2 [2358993:37645595:9261]
10816d (1 curve)	1	2+ 13+	2+  1  1  3 -2 13+ -3 -2
Curve Equation t Generators 10816d1 [0,1,0,-225,68927] 1 [121:1352:1]
10816e (1 curve)	1	2+ 13+	2+ -1  1 -3  2 13+ -3  2
Curve Equation t Generators 10816e1 [0,-1,0,-225,-68927] 1 [48:169:1]
10816f (1 curve)	1	2+ 13+	2+ -1 -1 -5 -2 13+ -3 -2
Curve Equation t Generators 10816f1 [0,-1,0,-11041,-463711] 1 [217:2704:1]
10816g (1 curve)	1	2+ 13+	2+ -1  2  1  1 13+  3  7
Curve Equation t Generators 10816g1 [0,-1,0,-17,25] 1 [0:5:1]
10816h (1 curve)	1	2+ 13+	2+ -1 -2 -1 -1 13+  3 -7
Curve Equation t Generators 10816h1 [0,-1,0,-2929,43289] 1 [-56:169:1]
10816i (3 curves)	1	2+ 13+	2+ -1 -3  1  6 13+ -3  2
Curve Equation t Generators 10816i1 [0,-1,0,5183,233921] 1 [35:676:1] 10816i2 [0,-1,0,-48897,-8278271] 1 [2115:96668:1] 10816i3 [0,-1,0,-4970177,-4263216959] 1 [345495:6967532:125]
10816j (1 curve)	1	2+ 13+	2+  2  1  0 -4 13+  3  2
Curve Equation t Generators 10816j1 [0,-1,0,-9520,388218] 1 [63777:767892:343]
10816k (1 curve)	1	2+ 13+	2+  2 -1  0  4 13+  3 -2
Curve Equation t Generators 10816k1 [0,-1,0,-56,194] 1 [-5:18:1]
10816l (2 curves)	1	2+ 13+	2+  2  3 -4  0 13+  3 -2
Curve Equation t Generators 10816l1 [0,-1,0,-2929,-185199] 1 [5677095:47566212:50653] 10816l2 [0,-1,0,-354449,-81105103] 1 [53778443437539203137:110551760030886395533116:12726039002923]
10816m (2 curves)	1	2+ 13+	2+  2 -3  4  0 13+  3  2
Curve Equation t Generators 10816m1 [0,-1,0,-17,-79] 1 [31:168:1] 10816m2 [0,-1,0,-2097,-36271] 1 [71005:38472:1331]
10816n (1 curve)	1	2+ 13+	2+ -2  1  0  4 13+  3 -2
Curve Equation t Generators 10816n1 [0,1,0,-9520,-388218] 1 [138986185:3066427168:274625]
10816o (1 curve)	1	2+ 13+	2+ -2 -1  0 -4 13+  3  2
Curve Equation t Generators 10816o1 [0,1,0,-56,-194] 1 [13:38:1]
10816p (2 curves)	1	2+ 13+	2+  3 -1 -1 -2 13+ -3  6
Curve Equation t Generators 10816p1 [0,0,0,-29068,2917616] 1 [-4758:43264:27] 10816p2 [0,0,0,-2300428,-1473466384] 1 [30849437190:-2487396474784:4492125]
10816q (1 curve)	1	2+ 13+	2+ -3  2 -1 -5 13+  3 -3
Curve Equation t Generators 10816q1 [0,0,0,-114244,14851720] 1 [173:515:1]
10816r (1 curve)	1	2+ 13+	2+ -3 -2  1  5 13+  3  3
Curve Equation t Generators 10816r1 [0,0,0,-676,6760] 1 [13:13:1]
10816s (2 curves)	0	2+ 13-	2+  1  3 -3  0 13- -3  6
Curve Equation t 10816s1 [0,1,0,191,-3041] 1 10816s2 [0,1,0,-20609,1150943] 1
10816t (2 curves)	0	2+ 13-	2+  1 -3  3  0 13- -3 -6
Curve Equation t 10816t1 [0,1,0,32223,-6810049] 1 10816t2 [0,1,0,-3482977,2542553599] 1
10816u (1 curve)	0	2+ 13-	2+  3  3 -1 -4 13-  5 -6
Curve Equation t 10816u1 [0,0,0,-61516,-5940688] 1
10816v (1 curve)	0	2+ 13-	2+  3 -3  1  4 13-  5  6
Curve Equation t 10816v1 [0,0,0,-364,-2704] 1
10816w (1 curve)	0	2+ 13-	2+ -3  3  1  4 13-  5  6
Curve Equation t 10816w1 [0,0,0,-61516,5940688] 1
10816x (1 curve)	2	2+ 13-	2+ -3 -3 -1 -4 13-  5 -6
Curve Equation t Generators 10816x1 [0,0,0,-364,2704] 1 [-22:8:1]&[0:52:1]
10816y (2 curves)	0	2- 13+	2-  0  1 -4  4 13+  3  0
Curve Equation t 10816y1 [0,0,0,8788,-1370928] 1 10816y2 [0,0,0,-4209452,3325414352] 1
10816z (2 curves)	0	2- 13+	2-  0 -1  4 -4 13+  3  0
Curve Equation t 10816z1 [0,0,0,52,-624] 1 10816z2 [0,0,0,-24908,1513616] 1
10816ba (2 curves)	0	2- 13+	2-  0  2 -2  2 13+  6  6
Curve Equation t 10816ba1 [0,0,0,-2704,52728] 2 10816ba2 [0,0,0,676,175760] 2
10816bb (4 curves)	0	2- 13+	2-  0 -2  0  0 13+  2  0
Curve Equation t 10816bb1 [0,0,0,169,0] 2 10816bb2 [0,0,0,-676,0] 4 10816bb3 [0,0,0,-7436,-246064] 2 10816bb4 [0,0,0,-7436,246064] 2
10816bc (1 curve)	0	2- 13+	2-  1 -1  5  2 13+ -3  2
Curve Equation t 10816bc1 [0,1,0,-11041,463711] 1
10816bd (1 curve)	0	2- 13+	2-  1  2 -1 -1 13+  3 -7
Curve Equation t 10816bd1 [0,1,0,-17,-25] 1
10816be (1 curve)	0	2- 13+	2-  1 -2  1  1 13+  3  7
Curve Equation t 10816be1 [0,1,0,-2929,-43289] 1
10816bf (3 curves)	2	2- 13+	2-  1 -3 -1 -6 13+ -3 -2
Curve Equation t Generators 10816bf1 [0,1,0,5183,-233921] 1 [111:1312:1]&[303:5408:1] 10816bf2 [0,1,0,-48897,8278271] 1 [-257:1984:1]&[82:2197:1] 10816bf3 [0,1,0,-4970177,4263216959] 1 [-1777:86528:1]&[1265:1352:1]
10816bg (2 curves)	0	2- 13+	2- -2  3  4  0 13+  3  2
Curve Equation t 10816bg1 [0,1,0,-2929,185199] 1 10816bg2 [0,1,0,-354449,81105103] 1
10816bh (2 curves)	2	2- 13+	2- -2 -3 -4  0 13+  3 -2
Curve Equation t Generators 10816bh1 [0,1,0,-17,79] 1 [-5:8:1]&[1:8:1] 10816bh2 [0,1,0,-2097,36271] 1 [-13:248:1]&[21:44:1]
10816bi (1 curve)	0	2- 13+	2-  3  2  1  5 13+  3  3
Curve Equation t 10816bi1 [0,0,0,-114244,-14851720] 1
10816bj (1 curve)	0	2- 13+	2-  3 -2 -1 -5 13+  3 -3
Curve Equation t 10816bj1 [0,0,0,-676,-6760] 1
10816bk (2 curves)	0	2- 13+	2- -3 -1  1  2 13+ -3 -6
Curve Equation t 10816bk1 [0,0,0,-29068,-2917616] 1 10816bk2 [0,0,0,-2300428,1473466384] 1
10816bl (2 curves)	1	2- 13-	2-  0  4  0  0 13-  2  0
Curve Equation t Generators 10816bl1 [0,0,0,2197,0] 2 [2101197945150:-26428505903151:136590875000] 10816bl2 [0,0,0,-8788,0] 2 [-1060900:8321988:15625]
10816bm (2 curves)	1	2- 13-	2-  0 -4  0  0 13-  2  0
Curve Equation t Generators 10816bm1 [0,0,0,13,0] 2 [18:51:8] 10816bm2 [0,0,0,-52,0] 2 [-4:12:1]
10816bn (2 curves)	1	2- 13-	2- -1  3  3  0 13- -3 -6
Curve Equation t Generators 10816bn1 [0,-1,0,191,3041] 1 [5:64:1] 10816bn2 [0,-1,0,-20609,-1150943] 1 [4503:4096:27]
10816bo (2 curves)	1	2- 13-	2- -1 -3 -3  0 13- -3  6
Curve Equation t Generators 10816bo1 [0,-1,0,32223,6810049] 1 [-56:2197:1] 10816bo2 [0,-1,0,-3482977,-2542553599] 1 [1393752:316449289:27]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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