Cremona's table of elliptic curves

18975 = 3 · 5² · 11 · 23

Class	r	Atkin-Lehner	Eigenvalues
18975a (4 curves)	1	3+ 5+ 11+ 23+	-1 3+ 5+  0 11+ -6  6  0
Curve Equation t Generators 18975a1 [1,1,1,-195688,33237656] 4 [880:22872:1] 18975a2 [1,1,1,-195813,33192906] 4 [-360:7742:1] 18975a3 [1,1,1,-273438,4316406] 2 [3375:192062:1] 18975a4 [1,1,1,-120188,59207906] 2 [170:6527:1]
18975b (2 curves)	0	3+ 5+ 11+ 23-	0 3+ 5+  1 11+  4 -3 -4
Curve Equation t 18975b1 [0,-1,1,-10520883,13160830043] 1 18975b2 [0,-1,1,17727867,64869255668] 1
18975c (4 curves)	0	3+ 5+ 11+ 23-	-1 3+ 5+  4 11+  2  2  4
Curve Equation t 18975c1 [1,1,1,-3463,155156] 4 18975c2 [1,1,1,-69588,7032156] 4 18975c3 [1,1,1,-83963,3898406] 2 18975c4 [1,1,1,-1113213,451616406] 2
18975d (2 curves)	1	3+ 5+ 11- 23-	1 3+ 5+  0 11-  0  0 -6
Curve Equation t Generators 18975d1 [1,1,0,-1525,22000] 2 [36:106:1] 18975d2 [1,1,0,-150,61875] 2 [-10:255:1]
18975e (6 curves)	1	3+ 5+ 11- 23-	1 3+ 5+  0 11-  2 -2 -4
Curve Equation t Generators 18975e1 [1,1,0,775,-24000] 2 [732:3242:27] 18975e2 [1,1,0,-9350,-317625] 4 [-66:165:1] 18975e3 [1,1,0,-145475,-21417000] 4 [980:27410:1] 18975e4 [1,1,0,-35225,2192250] 2 [-194:1428:1] 18975e5 [1,1,0,-2327600,-1367788125] 2 [386250:2799925:216] 18975e6 [1,1,0,-141350,-22683375] 2 [62676:1755285:64]
18975f (4 curves)	1	3+ 5+ 11- 23-	-1 3+ 5+  4 11- -2 -2 -4
Curve Equation t Generators 18975f1 [1,1,1,-5938,-178594] 2 [2460:4619:27] 18975f2 [1,1,1,-6063,-170844] 4 [-46:138:1] 18975f3 [1,1,1,-20438,921656] 2 [-114:1393:1] 18975f4 [1,1,1,6312,-764844] 2 [100:887:1]
18975g (2 curves)	0	3+ 5- 11+ 23+	1 3+ 5-  4 11+  2  6  0
Curve Equation t 18975g1 [1,1,0,-131450,18288375] 2 18975g2 [1,1,0,-138325,16260250] 2
18975h (1 curve)	1	3+ 5- 11+ 23-	0 3+ 5-  1 11+  6  1 -2
Curve Equation t Generators 18975h1 [0,-1,1,-1523,51023] 1 [17:172:1]
18975i (1 curve)	1	3+ 5- 11+ 23-	0 3+ 5- -2 11+  3 -2  7
Curve Equation t Generators 18975i1 [0,-1,1,-1583,-55057] 1 [1659:7424:27]
18975j (1 curve)	1	3+ 5- 11- 23+	0 3+ 5- -1 11-  2  3  6
Curve Equation t Generators 18975j1 [0,-1,1,15667,411068] 1 [68:1336:1]
18975k (2 curves)	1	3+ 5- 11- 23+	-1 3+ 5-  4 11-  2 -2 -4
Curve Equation t Generators 18975k1 [1,1,1,-2283,37056] 2 [0:192:1] 18975k2 [1,1,1,-35558,2565956] 2 [110:-28:1]
18975l (1 curve)	1	3+ 5- 11- 23+	-2 3+ 5-  1 11-  7 -4 -1
Curve Equation t Generators 18975l1 [0,-1,1,542,-12432] 1 [42:287:1]
18975m (4 curves)	1	3- 5+ 11+ 23-	-1 3- 5+  0 11+  6 -6 -4
Curve Equation t Generators 18975m1 [1,0,0,187,-4008] 2 [831:4349:27] 18975m2 [1,0,0,-2938,-57133] 4 [131:1280:1] 18975m3 [1,0,0,-46063,-3809008] 2 [256:964:1] 18975m4 [1,0,0,-9813,307242] 4 [87:294:1]
18975n (1 curve)	1	3- 5+ 11+ 23-	2 3- 5+  0 11+ -3  6 -1
Curve Equation t Generators 18975n1 [0,1,1,32242,6954269] 1 [-406:18221:8]
18975o (1 curve)	1	3- 5+ 11+ 23-	-2 3- 5+  4 11+ -5  2  5
Curve Equation t Generators 18975o1 [0,1,1,-7304258,7595882894] 1 [1573:937:1]
18975p (2 curves)	1	3- 5+ 11- 23+	1 3- 5+  2 11- -2  0  2
Curve Equation t Generators 18975p1 [1,0,1,-576,-77327] 2 [371:6942:1] 18975p2 [1,0,1,-30951,-2082077] 2 [-97:147:1]
18975q (2 curves)	1	3- 5+ 11- 23+	1 3- 5+ -4 11-  4  0  2
Curve Equation t Generators 18975q1 [1,0,1,-4401,111823] 2 [181:2201:1] 18975q2 [1,0,1,-3026,183323] 2 [-57:442:1]
18975r (1 curve)	0	3- 5+ 11- 23-	0 3- 5+  5 11-  4 -3  4
Curve Equation t 18975r1 [0,1,1,24617,-2512481] 1
18975s (1 curve)	0	3- 5+ 11- 23-	2 3- 5+ -1 11- -7  4 -1
Curve Equation t 18975s1 [0,1,1,22,-91] 1
18975t (1 curve)	0	3- 5+ 11- 23-	2 3- 5+ -4 11- -1 -2 -1
Curve Equation t 18975t1 [0,1,1,9342,233219] 1
18975u (1 curve)	1	3- 5- 11+ 23+	0 3- 5- -1 11+ -6 -1 -2
Curve Equation t Generators 18975u1 [0,1,1,-38083,6301744] 1 [158:2062:1]
18975v (1 curve)	1	3- 5- 11+ 23+	0 3- 5-  2 11+ -3  2  7
Curve Equation t Generators 18975v1 [0,1,1,-63,-466] 1 [18:67:1]
18975w (2 curves)	2	3- 5- 11+ 23-	-1 3- 5- -4 11+ -2 -6  0
Curve Equation t Generators 18975w1 [1,0,0,-5258,146307] 2 [-57:540:1]&[-38:559:1] 18975w2 [1,0,0,-5533,130082] 2 [71:-346:1]&[-67:482:1]
18975x (1 curve)	1	3- 5- 11- 23-	0 3- 5-  1 11- -2 -3  6
Curve Equation t Generators 18975x1 [0,1,1,627,3539] 1 [33:247:1]
18975y (2 curves)	1	3- 5- 11- 23-	1 3- 5- -4 11- -2  2 -4
Curve Equation t Generators 18975y1 [1,0,1,-57076,4746173] 2 [211:1346:1] 18975y2 [1,0,1,-888951,322522423] 2 [563:477:1]

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

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