Cremona's table of elliptic curves

8112 = 2⁴ · 3 · 13²

Class	r	Atkin-Lehner	Eigenvalues
8112a (2 curves)	1	2+ 3+ 13+	2+ 3+  0  0  6 13+  2  0
Curve Equation t Generators 8112a1 [0,-1,0,-563,11010] 2 [-26:86:1] 8112a2 [0,-1,0,-11548,481168] 2 [-108:676:1]
8112b (4 curves)	1	2+ 3+ 13+	2+ 3+ -2  0  0 13+  2 -4
Curve Equation t Generators 8112b1 [0,-1,0,-1239,-9270] 2 [438:9126:1] 8112b2 [0,-1,0,-8844,316224] 4 [-60:792:1] 8112b3 [0,-1,0,-140664,20352864] 4 [3914:66165:8] 8112b4 [0,-1,0,1296,989520] 2 [22:1014:1]
8112c (1 curve)	1	2+ 3+ 13+	2+ 3+  3  0  0 13+ -1  0
Curve Equation t Generators 8112c1 [0,-1,0,8056,-284064] 1 [110:1386:1]
8112d (1 curve)	1	2+ 3+ 13+	2+ 3+ -3  0  0 13+ -1  0
Curve Equation t Generators 8112d1 [0,-1,0,48,-144] 1 [6:18:1]
8112e (2 curves)	1	2+ 3+ 13+	2+ 3+  4 -4 -2 13+ -6  4
Curve Equation t Generators 8112e1 [0,-1,0,789,-27522] 2 [19570:247138:125] 8112e2 [0,-1,0,-10196,-357072] 2 [632:15660:1]
8112f (2 curves)	0	2+ 3+ 13-	2+ 3+  2  2  4 13- -6  2
Curve Equation t 8112f1 [0,-1,0,-732,137760] 2 8112f2 [0,-1,0,-44672,3617808] 2
8112g (2 curves)	2	2+ 3+ 13-	2+ 3+ -2 -2 -4 13- -6 -2
Curve Equation t Generators 8112g1 [0,-1,0,-4,64] 2 [0:8:1]&[5:12:1] 8112g2 [0,-1,0,-264,1728] 2 [-16:40:1]&[-4:52:1]
8112h (2 curves)	0	2+ 3+ 13-	2+ 3+  4 -2  2 13-  6 -2
Curve Equation t 8112h1 [0,-1,0,-60051,-5411862] 2 8112h2 [0,-1,0,-949836,-355987152] 2
8112i (2 curves)	0	2+ 3+ 13-	2+ 3+ -4  2 -2 13-  6  2
Curve Equation t 8112i1 [0,-1,0,-355,-2354] 2 8112i2 [0,-1,0,-5620,-160304] 2
8112j (2 curves)	0	2+ 3- 13+	2+ 3-  0 -4 -2 13+ -6 -4
Curve Equation t 8112j1 [0,1,0,-563,2172] 2 8112j2 [0,1,0,1972,18396] 2
8112k (6 curves)	0	2+ 3- 13+	2+ 3-  2  0  4 13+  2 -4
Curve Equation t 8112k1 [0,1,0,113,-532] 2 8112k2 [0,1,0,-732,-5940] 4 8112k3 [0,1,0,-10872,-439932] 2 8112k4 [0,1,0,-4112,95460] 4 8112k5 [0,1,0,-64952,6349812] 2 8112k6 [0,1,0,2648,384788] 2
8112l (1 curve)	0	2+ 3- 13+	2+ 3-  2  1 -6 13+  8 -4
Curve Equation t 8112l1 [0,1,0,-17,27] 1
8112m (4 curves)	0	2+ 3- 13+	2+ 3-  2  4  0 13+  2  8
Curve Equation t 8112m1 [0,1,0,-6647,-210768] 2 8112m2 [0,1,0,-7492,-154660] 4 8112m3 [0,1,0,-51432,4362372] 4 8112m4 [0,1,0,22928,-1067260] 2
8112n (1 curve)	0	2+ 3- 13+	2+ 3- -2 -1  6 13+  8  4
Curve Equation t 8112n1 [0,1,0,-2929,70955] 1
8112o (1 curve)	0	2+ 3- 13+	2+ 3-  3  4 -4 13+  3  4
Curve Equation t 8112o1 [0,1,0,-5464,-158716] 1
8112p (1 curve)	0	2+ 3- 13+	2+ 3- -3 -4  4 13+  3 -4
Curve Equation t 8112p1 [0,1,0,-923472,-345005244] 1
8112q (2 curves)	0	2+ 3- 13+	2+ 3- -4  0 -2 13+  2  8
Curve Equation t 8112q1 [0,1,0,-110075,-13242696] 2 8112q2 [0,1,0,95260,-56773716] 2
8112r (2 curves)	1	2+ 3- 13-	2+ 3-  0  2  2 13- -2 -6
Curve Equation t Generators 8112r1 [0,1,0,-7323,231336] 2 [110298:12951315:8] 8112r2 [0,1,0,-18308,-638676] 2 [-38:60:1]
8112s (2 curves)	1	2+ 3- 13-	2+ 3-  0 -2 -2 13- -2  6
Curve Equation t Generators 8112s1 [0,1,0,-43,92] 2 [8:18:1] 8112s2 [0,1,0,-108,-324] 2 [-6:12:1]
8112t (4 curves)	0	2- 3+ 13+	2- 3+  0  2  0 13+ -6  2
Curve Equation t 8112t1 [0,-1,0,-2253,-144] 2 8112t2 [0,-1,0,-25068,-1515060] 2 8112t3 [0,-1,0,-123933,16834284] 2 8112t4 [0,-1,0,-126468,16112316] 2
8112u (2 curves)	0	2- 3+ 13+	2- 3+  3 -2 -6 13+ -3 -2
Curve Equation t 8112u1 [0,-1,0,-167704,-46227728] 1 8112u2 [0,-1,0,1414136,864912112] 1
8112v (2 curves)	0	2- 3+ 13+	2- 3+ -3  2  6 13+ -3  2
Curve Equation t 8112v1 [0,-1,0,-992,-20736] 1 8112v2 [0,-1,0,8368,391104] 1
8112w (4 curves)	1	2- 3+ 13-	2- 3+  2 -2  0 13-  2  6
Curve Equation t Generators 8112w1 [0,-1,0,131088,7519680] 2 [670120:49173632:125] 8112w2 [0,-1,0,-571952,63200448] 2 [88:3680:1] 8112w3 [0,-1,0,-11996352,-15998592000] 2 [748518561367613062637092035394720:-43751993839793062627157391129608192:126717908222032835464132447625] 8112w4 [0,-1,0,-191974592,-1023732753408] 2 [-9231803068939935968:-21006182189288960:1154089580209957]
8112x (2 curves)	1	2- 3+ 13-	2- 3+  2  4 -6 13-  2  0
Curve Equation t Generators 8112x1 [0,-1,0,-17,12] 2 [8:18:1] 8112x2 [0,-1,0,-212,1260] 2 [90:105:8]
8112y (4 curves)	1	2- 3+ 13-	2- 3+ -2  2  0 13-  2 -6
Curve Equation t Generators 8112y1 [0,-1,0,776,3184] 2 [9:104:1] 8112y2 [0,-1,0,-3384,29808] 2 [-4:208:1] 8112y3 [0,-1,0,-70984,-7260176] 2 [598605444:30571626496:226981] 8112y4 [0,-1,0,-1135944,-465618960] 2 [10548:1077504:1]
8112z (2 curves)	1	2- 3+ 13-	2- 3+ -2 -4  6 13-  2  0
Curve Equation t Generators 8112z1 [0,-1,0,-2929,14728] 2 [52:18:1] 8112z2 [0,-1,0,-35884,2624764] 2 [79205:22290762:1]
8112ba (2 curves)	1	2- 3- 13+	2- 3-  1  2 -2 13+ -7 -6
Curve Equation t Generators 8112ba1 [0,1,0,-160,-844] 1 [20:66:1] 8112ba2 [0,1,0,-1200,88596] 1 [60:-486:1]
8112bb (1 curve)	1	2- 3- 13+	2- 3-  1 -2  2 13+  5 -2
Curve Equation t Generators 8112bb1 [0,1,0,-9520,13720916] 1 [164:4074:1]
8112bc (1 curve)	1	2- 3- 13+	2- 3- -1  2 -2 13+  5  2
Curve Equation t Generators 8112bc1 [0,1,0,-56,6228] 1 [4:78:1]
8112bd (2 curves)	1	2- 3- 13+	2- 3- -1 -2  2 13+ -7  6
Curve Equation t Generators 8112bd1 [0,1,0,-27096,-1745964] 1 [732:19266:1] 8112bd2 [0,1,0,-202856,195456756] 1 [-620:9126:1]
8112be (1 curve)	1	2- 3- 13+	2- 3-  2 -1 -2 13+ -4 -4
Curve Equation t Generators 8112be1 [0,1,0,-11717,1134303] 1 [-113:1014:1]
8112bf (1 curve)	1	2- 3- 13+	2- 3- -2  1  2 13+ -4  4
Curve Equation t Generators 8112bf1 [0,1,0,-69,495] 1 [3:18:1]
8112bg (4 curves)	1	2- 3- 13+	2- 3- -2  4 -4 13+  2 -8
Curve Equation t Generators 8112bg1 [0,1,0,-52784,-97467564] 2 [511:3042:1] 8112bg2 [0,1,0,-3513904,-2513329324] 4 [53759:12456990:1] 8112bg3 [0,1,0,-56079664,-161661424300] 2 [-4324510:104307:1000] 8112bg4 [0,1,0,-6326064,2074990932] 4 [306:12960:1]
8112bh (4 curves)	1	2- 3- 13+	2- 3- -2 -4  4 13+  2  0
Curve Equation t Generators 8112bh1 [0,1,0,1296,38676] 2 [95:1014:1] 8112bh2 [0,1,0,-12224,444276] 4 [18:480:1] 8112bh3 [0,1,0,-52784,-4244460] 2 [-870:3765:8] 8112bh4 [0,1,0,-187984,31307732] 4 [82:4056:1]
8112bi (2 curves)	1	2- 3- 13+	2- 3-  4 -2 -4 13+  2 -2
Curve Equation t Generators 8112bi1 [0,1,0,-901,-9658] 2 [4270:3042:125] 8112bi2 [0,1,0,-3436,66392] 2 [11743:1272570:1]

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