Cremona's table of elliptic curves

54684 = 2² · 3² · 7² · 31

Class	r	Atkin-Lehner	Eigenvalues
54684a (1 curve)	0	2- 3+ 7+ 31+	2- 3+  2 7+ -3 -2  5 -7
Curve Equation t 54684a1 [0,0,0,-10584,418068] 1
54684b (1 curve)	2	2- 3+ 7+ 31+	2- 3+ -2 7+  3 -2 -5 -7
Curve Equation t Generators 54684b1 [0,0,0,-1176,-15484] 1 [-20:6:1]&[-19:1:1]
54684c (1 curve)	0	2- 3+ 7- 31-	2- 3+  2 7-  3  2  5  7
Curve Equation t 54684c1 [0,0,0,-57624,5311012] 1
54684d (2 curves)	0	2- 3+ 7- 31-	2- 3+  2 7-  4  4  2 -4
Curve Equation t 54684d1 [0,0,0,-10584,-213003] 2 54684d2 [0,0,0,35721,-1574370] 2
54684e (2 curves)	0	2- 3+ 7- 31-	2- 3+  2 7- -6  2  8  4
Curve Equation t 54684e1 [0,0,0,-10584,-425663] 2 54684e2 [0,0,0,-170079,-26997530] 2
54684f (1 curve)	0	2- 3+ 7- 31-	2- 3+ -2 7- -3  2 -5  7
Curve Equation t 54684f1 [0,0,0,-518616,-143397324] 1
54684g (2 curves)	2	2- 3+ 7- 31-	2- 3+ -2 7- -4  4 -2 -4
Curve Equation t Generators 54684g1 [0,0,0,-1176,7889] 2 [-20:153:1]&[-14:147:1] 54684g2 [0,0,0,3969,58310] 2 [7:294:1]&[347:6574:1]
54684h (2 curves)	0	2- 3+ 7- 31-	2- 3+ -2 7-  6  2 -8  4
Curve Equation t 54684h1 [0,0,0,-95256,11492901] 2 54684h2 [0,0,0,-1530711,728933310] 2
54684i (2 curves)	2	2- 3- 7+ 31-	2- 3-  0 7+ -3 -4 -3 -7
Curve Equation t Generators 54684i1 [0,0,0,-41160,-2871596] 1 [245:1323:1]&[-139:405:1] 54684i2 [0,0,0,-782040,265771492] 3 [31556:-13671:64]&[-931:13671:1]
54684j (4 curves)	0	2- 3- 7- 31+	2- 3-  0 7-  0  4 -6  4
Curve Equation t 54684j1 [0,0,0,-173460,-21457051] 2 54684j2 [0,0,0,-929775,326901638] 2 54684j3 [0,0,0,-13138860,-18330935623] 2 54684j4 [0,0,0,-13154295,-18285707986] 2
54684k (2 curves)	0	2- 3- 7- 31+	2- 3-  0 7- -3  4  3  7
Curve Equation t 54684k1 [0,0,0,-840,8372] 1 54684k2 [0,0,0,-15960,-774844] 1
54684l (1 curve)	0	2- 3- 7- 31+	2- 3- -1 7-  0  6 -8 -7
Curve Equation t 54684l1 [0,0,0,-2793,64141] 1
54684m (2 curves)	2	2- 3- 7- 31+	2- 3- -2 7-  0 -2  0 -4
Curve Equation t Generators 54684m1 [0,0,0,-4116,139601] 2 [-56:441:1]&[-14:441:1] 54684m2 [0,0,0,-72471,7508270] 2 [163:-162:1]&[-146:3870:1]
54684n (2 curves)	0	2- 3- 7- 31+	2- 3-  3 7-  0 -2  0  1
Curve Equation t 54684n1 [0,0,0,-1346961,-632608963] 1 54684n2 [0,0,0,-110653221,-448016701363] 1
54684o (1 curve)	0	2- 3- 7- 31+	2- 3-  3 7-  0  5  0 -6
Curve Equation t 54684o1 [0,0,0,39984,62314868] 1
54684p (2 curves)	0	2- 3- 7- 31+	2- 3- -3 7-  6 -2  6  1
Curve Equation t 54684p1 [0,0,0,-1029,16121] 1 54684p2 [0,0,0,7791,-156751] 1
54684q (2 curves)	1	2- 3- 7- 31-	2- 3-  0 7-  0  0 -2  4
Curve Equation t Generators 54684q1 [0,0,0,-14700,-675367] 2 [-68:99:1] 54684q2 [0,0,0,-30135,988526] 2 [-125:1674:1]
54684r (2 curves)	1	2- 3- 7- 31-	2- 3-  0 7-  4  4  2 -4
Curve Equation t Generators 54684r1 [0,0,0,-10016580,-12200857459] 2 [-324061717861482141354816640:-140233907116452087123656409:176517092128630186704896] 54684r2 [0,0,0,-10772895,-10251531178] 2 [-22686534664598:-252312643017792:8960030533]
54684s (1 curve)	1	2- 3- 7- 31-	2- 3-  1 7- -6  4  0  5
Curve Equation t Generators 54684s1 [0,0,0,-7497,-250047] 1 [144:1287:1]
54684t (1 curve)	1	2- 3- 7- 31-	2- 3- -1 7-  0 -1 -4 -2
Curve Equation t Generators 54684t1 [0,0,0,-9408,-648956] 1 [140:882:1]
54684u (1 curve)	1	2- 3- 7- 31-	2- 3- -3 7- -2  4 -4  5
Curve Equation t Generators 54684u1 [0,0,0,-1029,90209] 1 [16:279:1]
54684v (2 curves)	1	2- 3- 7- 31-	2- 3-  4 7-  2 -2 -8 -4
Curve Equation t Generators 54684v1 [0,0,0,1904532,-1343841415] 2 [77630:1107351:125] 54684v2 [0,0,0,-12928503,-13699759570] 2 [-1265:25110:1]

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