Cremona's table of elliptic curves

112518 = 2 · 3² · 7 · 19 · 47

Class	r	Atkin-Lehner	Eigenvalues
112518a (1 curve)	1	2+ 3+ 7+ 19+ 47+	2+ 3+  1 7+  2 -7  3 19+
Curve Equation t Generators 112518a1 [1,-1,0,-10074,-134324] 1 [-19:233:1]
112518b (1 curve)	1	2+ 3+ 7+ 19+ 47+	2+ 3+ -3 7+  2  1 -5 19+
Curve Equation t Generators 112518b1 [1,-1,0,-771,-5419] 1 [-11:46:1]
112518c (2 curves)	1	2+ 3+ 7- 19- 47+	2+ 3+  0 7-  4 -2  6 19-
Curve Equation t Generators 112518c1 [1,-1,0,-2847,-56627] 2 [-27:17:1] 112518c2 [1,-1,0,-6207,105325] 2 [69:10:1]
112518d (2 curves)	0	2+ 3+ 7- 19- 47-	2+ 3+  2 7- -2 -2  2 19-
Curve Equation t 112518d1 [1,-1,0,-13461,615797] 2 112518d2 [1,-1,0,-216501,38827925] 2
112518e (2 curves)	2	2+ 3+ 7- 19- 47-	2+ 3+  2 7- -4 -2 -6 19-
Curve Equation t Generators 112518e1 [1,-1,0,-26230086,52534819892] 2 [2651:38977:1]&[-2221:317073:1] 112518e2 [1,-1,0,-421530726,3331237388180] 2 [-14107:2550717:1]&[-4895:2299690:1]
112518f (2 curves)	2	2+ 3+ 7- 19- 47-	2+ 3+ -2 7- -4 -2 -2 19-
Curve Equation t Generators 112518f1 [1,-1,0,42,0] 2 [1:6:1]&[14:63:8] 112518f2 [1,-1,0,-168,126] 2 [-11:29:1]&[13:-3:1]
112518g (4 curves)	1	2+ 3- 7+ 19+ 47-	2+ 3-  2 7+  0 -2  6 19+
Curve Equation t Generators 112518g1 [1,-1,0,-22281,-1274563] 2 [35330:465599:125] 112518g2 [1,-1,0,-22461,-1252783] 4 [-634:1577:8] 112518g3 [1,-1,0,7149,-4338145] 2 [8390:267785:8] 112518g4 [1,-1,0,-54951,3224339] 2 [-1810:16979:8]
112518h (2 curves)	1	2+ 3- 7+ 19+ 47-	2+ 3- -4 7+ -2 -4  8 19+
Curve Equation t Generators 112518h1 [1,-1,0,-216594,-38698236] 2 [-267:345:1] 112518h2 [1,-1,0,-278334,-14804856] 2 [-399:5910:1]
112518i (1 curve)	1	2+ 3- 7- 19+ 47+	2+ 3-  0 7-  5  1  0 19+
Curve Equation t Generators 112518i1 [1,-1,0,48,-82] 1 [14:11:8]
112518j (1 curve)	1	2+ 3- 7- 19+ 47+	2+ 3-  1 7-  2  1 -1 19+
Curve Equation t Generators 112518j1 [1,-1,0,-1314,-11988] 1 [-114:543:8]
112518k (2 curves)	1	2+ 3- 7- 19+ 47+	2+ 3- -2 7-  2 -4  6 19+
Curve Equation t Generators 112518k1 [1,-1,0,-30357468,-72688212644] 2 [8510:529796:1] 112518k2 [1,-1,0,-502946298,-4341205042970] 2 [54437:11356787:1]
112518l (2 curves)	0	2+ 3- 7- 19+ 47-	2+ 3-  2 7-  2  2 -2 19+
Curve Equation t 112518l1 [1,-1,0,-441,2457] 2 112518l2 [1,-1,0,1269,15795] 2
112518m (2 curves)	0	2+ 3- 7- 19+ 47-	2+ 3- -2 7-  0  2 -4 19+
Curve Equation t 112518m1 [1,-1,0,22122,208195060] 2 112518m2 [1,-1,0,-5138838,4401991156] 2
112518n (1 curve)	0	2+ 3- 7- 19+ 47-	2+ 3-  3 7- -3 -2 -2 19+
Curve Equation t 112518n1 [1,-1,0,-981783,-374367123] 1
112518o (1 curve)	0	2+ 3- 7- 19+ 47-	2+ 3- -3 7- -6 -3  5 19+
Curve Equation t 112518o1 [1,-1,0,-2481381,-1494145877] 1
112518p (1 curve)	0	2+ 3- 7- 19- 47+	2+ 3-  3 7- -2 -5  3 19-
Curve Equation t 112518p1 [1,-1,0,-529173,-130588043] 1
112518q (1 curve)	1	2+ 3- 7- 19- 47-	2+ 3-  1 7- -4  1  7 19-
Curve Equation t Generators 112518q1 [1,-1,0,-27279,-1260819] 1 [-105:714:1]
112518r (1 curve)	1	2- 3+ 7+ 19+ 47-	2- 3+ -1 7+ -2 -7 -3 19+
Curve Equation t Generators 112518r1 [1,-1,1,-90668,3717415] 1 [-113:3593:1]
112518s (1 curve)	1	2- 3+ 7+ 19+ 47-	2- 3+  3 7+ -2  1  5 19+
Curve Equation t Generators 112518s1 [1,-1,1,-86,229] 1 [1:11:1]
112518t (2 curves)	0	2- 3+ 7- 19- 47+	2- 3+  2 7-  4 -2  2 19-
Curve Equation t 112518t1 [1,-1,1,376,-377] 2 112518t2 [1,-1,1,-1514,-1889] 2
112518u (2 curves)	0	2- 3+ 7- 19- 47+	2- 3+ -2 7-  2 -2 -2 19-
Curve Equation t 112518u1 [1,-1,1,-1496,-22309] 2 112518u2 [1,-1,1,-24056,-1430053] 2
112518v (2 curves)	0	2- 3+ 7- 19- 47+	2- 3+ -2 7-  4 -2  6 19-
Curve Equation t 112518v1 [1,-1,1,-236070776,-1418204066309] 2 112518v2 [1,-1,1,-3793776536,-89939615704325] 2
112518w (2 curves)	1	2- 3+ 7- 19- 47-	2- 3+  0 7- -4 -2 -6 19-
Curve Equation t Generators 112518w1 [1,-1,1,-25625,1554553] 2 [131:-724:1] 112518w2 [1,-1,1,-55865,-2787911] 2 [-77:1064:1]
112518x (2 curves)	1	2- 3- 7+ 19+ 47+	2- 3-  0 7+ -2  0 -2 19+
Curve Equation t Generators 112518x1 [1,-1,1,-8915,-753037] 2 [231:-3194:1] 112518x2 [1,-1,1,-190355,-31888141] 2 [-257:222:1]
112518y (1 curve)	1	2- 3- 7+ 19+ 47+	2- 3-  2 7+ -3  1  6 19+
Curve Equation t Generators 112518y1 [1,-1,1,-1724,-27169] 1 [123:1207:1]
112518z (1 curve)	1	2- 3- 7+ 19+ 47+	2- 3-  2 7+  5  1 -2 19+
Curve Equation t Generators 112518z1 [1,-1,1,-827969,290192775] 1 [-603458530:28970692869:1191016]
112518ba (1 curve)	1	2- 3- 7+ 19+ 47+	2- 3- -2 7+ -1  5  6 19+
Curve Equation t Generators 112518ba1 [1,-1,1,-536,149235] 1 [-1:387:1]
112518bb (2 curves)	0	2- 3- 7+ 19+ 47-	2- 3- -2 7+  6  4  6 19+
Curve Equation t 112518bb1 [1,-1,1,2299,-26535] 2 112518bb2 [1,-1,1,-10931,-222339] 2
112518bc (2 curves)	0	2- 3- 7+ 19- 47+	2- 3- -4 7+  2 -4 -2 19-
Curve Equation t 112518bc1 [1,-1,1,5212363,-1475908675] 2 112518bc2 [1,-1,1,-22014977,-12094571275] 2
112518bd (2 curves)	1	2- 3- 7+ 19- 47-	2- 3-  2 7+  0 -6  0 19-
Curve Equation t Generators 112518bd1 [1,-1,1,166,-7527] 2 [21:59:1] 112518bd2 [1,-1,1,-4874,-124455] 2 [-45:69:1]
112518be (2 curves)	0	2- 3- 7- 19+ 47+	2- 3-  2 7-  2 -6 -2 19+
Curve Equation t 112518be1 [1,-1,1,-2909,-59327] 2 112518be2 [1,-1,1,-1199,-129779] 2
112518bf (4 curves)	2	2- 3- 7- 19+ 47+	2- 3- -2 7- -4 -2  2 19+
Curve Equation t Generators 112518bf1 [1,-1,1,-8906,388361] 4 [-83:783:1]&[-69:853:1] 112518bf2 [1,-1,1,-150026,22403081] 4 [237:-461:1]&[-1602:54095:8] 112518bf3 [1,-1,1,-157586,20026217] 2 [103:2157:1]&[307:561:1] 112518bf4 [1,-1,1,-2400386,1432028585] 2 [895:-435:1]&[12990:334187:8]
112518bg (1 curve)	0	2- 3- 7- 19+ 47+	2- 3-  3 7-  0  4 -4 19+
Curve Equation t 112518bg1 [1,-1,1,-86,533] 1
112518bh (1 curve)	0	2- 3- 7- 19+ 47+	2- 3-  3 7-  6  1  3 19+
Curve Equation t 112518bh1 [1,-1,1,-536,4569] 1
112518bi (1 curve)	0	2- 3- 7- 19+ 47+	2- 3- -3 7-  0 -5  5 19+
Curve Equation t 112518bi1 [1,-1,1,-1863104,979287617] 1
112518bj (2 curves)	0	2- 3- 7- 19+ 47+	2- 3-  4 7-  0  2 -2 19+
Curve Equation t 112518bj1 [1,-1,1,-2061203,-1144435021] 2 112518bj2 [1,-1,1,-33026963,-73046929741] 2
112518bk (2 curves)	1	2- 3- 7- 19- 47+	2- 3-  0 7- -2  4  0 19-
Curve Equation t Generators 112518bk1 [1,-1,1,-1998320,-1080264877] 2 [1821:35377:1] 112518bk2 [1,-1,1,-3288560,486602579] 2 [1917:34033:1]
112518bl (2 curves)	1	2- 3- 7- 19- 47+	2- 3-  0 7- -3 -1  0 19-
Curve Equation t Generators 112518bl1 [1,-1,1,282460,38861471] 1 [-105:2887:1] 112518bl2 [1,-1,1,-6056195,5816836739] 3 [-2697:51622:1]
112518bm (1 curve)	1	2- 3- 7- 19- 47+	2- 3-  1 7-  2 -5  7 19-
Curve Equation t Generators 112518bm1 [1,-1,1,-70937627,-193959203893] 1 [-3789:144778:1]
112518bn (2 curves)	1	2- 3- 7- 19- 47+	2- 3-  4 7- -4 -2 -2 19-
Curve Equation t Generators 112518bn1 [1,-1,1,2047,52589] 2 [182:2565:8] 112518bn2 [1,-1,1,-14963,562889] 2 [-62712:409685:512]
112518bo (2 curves)	2	2- 3- 7- 19- 47-	2- 3- -2 7- -2 -4 -2 19-
Curve Equation t Generators 112518bo1 [1,-1,1,-10931,912147] 2 [-21:-1054:1]&[-97:1074:1] 112518bo2 [1,-1,1,-222611,40453971] 2 [-403:8238:1]&[29995:97458:125]
112518bp (2 curves)	0	2- 3- 7- 19- 47-	2- 3-  3 7-  0  5  3 19-
Curve Equation t 112518bp1 [1,-1,1,-2021,-31381] 1 112518bp2 [1,-1,1,-35366,2563373] 3

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