Cremona's table of elliptic curves

123981 = 3 · 11 · 13 · 17²

Class	r	Atkin-Lehner	Eigenvalues
123981a (1 curve)	1	3+ 11+ 13+ 17+	-1 3+  2  3 11+ 13+ 17+ -2
Curve Equation t Generators 123981a1 [1,1,1,76868,-7775542] 1 [1956168752:23065322762:18191447]
123981b (2 curves)	0	3+ 11+ 13- 17+	1 3+ -2  0 11+ 13- 17+  2
Curve Equation t 123981b1 [1,1,0,-46235526,-121026635145] 2 123981b2 [1,1,0,-46210961,-121161629646] 2
123981c (1 curve)	2	3+ 11+ 13- 17+	-2 3+ -2 -3 11+ 13- 17+  2
Curve Equation t Generators 123981c1 [0,-1,1,6,434] 1 [23:-111:1]&[-54:47:8]
123981d (1 curve)	0	3+ 11- 13+ 17+	1 3+ -3 -1 11- 13+ 17+  7
Curve Equation t 123981d1 [1,1,0,-6474,-160719] 1
123981e (1 curve)	1	3+ 11- 13+ 17-	0 3+  3  2 11- 13+ 17- -4
Curve Equation t Generators 123981e1 [0,-1,1,6551,1543728] 1 [-96:144:1]
123981f (1 curve)	1	3+ 11- 13+ 17-	1 3+ -1 -1 11- 13+ 17-  1
Curve Equation t Generators 123981f1 [1,1,0,-785363,-248769246] 1 [-398:1178:1]
123981g (1 curve)	1	3+ 11- 13+ 17-	-1 3+ -3  1 11- 13+ 17-  7
Curve Equation t Generators 123981g1 [1,1,1,-2607,49422] 1 [18:-103:1]
123981h (6 curves)	1	3+ 11- 13- 17+	-1 3+  2  0 11- 13- 17+ -4
Curve Equation t Generators 123981h1 [1,1,1,-6942,316458] 2 [948:8770:27] 123981h2 [1,1,1,-123987,16749576] 4 [230:567:1] 123981h3 [1,1,1,-136992,13004136] 4 [-18:3941:1] 123981h4 [1,1,1,-1983702,1074555468] 2 [279167:-120240:343] 123981h5 [1,1,1,387543,89166618] 2 [849:31685:1] 123981h6 [1,1,1,-869607,-302606406] 2 [1191:18189:1]
123981i (4 curves)	1	3+ 11- 13- 17+	-1 3+ -2  0 11- 13- 17+  4
Curve Equation t Generators 123981i1 [1,1,1,178596,-19501428] 2 [2903414928:-77173652297:9663597] 123981i2 [1,1,1,-874809,-172455834] 4 [43554:1359479:27] 123981i3 [1,1,1,-6453954,6187769466] 2 [3856939413:-79110541570:1860867] 123981i4 [1,1,1,-12150144,-16300695018] 2 [6410:408186:1]
123981j (1 curve)	0	3+ 11- 13- 17-	2 3+  3  0 11- 13- 17-  6
Curve Equation t 123981j1 [0,-1,1,473286,-15872857] 1
123981k (1 curve)	2	3- 11+ 13+ 17+	0 3- -3 -2 11+ 13+ 17+ -4
Curve Equation t Generators 123981k1 [0,1,1,23,322] 1 [2:-20:1]&[-2:16:1]
123981l (1 curve)	0	3- 11+ 13+ 17+	1 3-  1  1 11+ 13+ 17+  1
Curve Equation t 123981l1 [1,0,1,-2718,-50795] 1
123981m (1 curve)	0	3- 11+ 13+ 17+	-1 3-  3 -1 11+ 13+ 17+  7
Curve Equation t 123981m1 [1,0,0,-753429,248085162] 1
123981n (1 curve)	1	3- 11+ 13+ 17-	1 3-  3  1 11+ 13+ 17-  7
Curve Equation t Generators 123981n1 [1,0,1,-1871137,-776514847] 1 [-14051904453330:70475306031929:13312053000]
123981o (2 curves)	1	3- 11+ 13- 17+	-1 3-  0  0 11+ 13- 17+  6
Curve Equation t Generators 123981o1 [1,0,0,-121074137723,3461624044982616] 2 [14431329394715:16886340637240679:9938375] 123981o2 [1,0,0,471865244762,27359097153028565] 2 [715625605:1724323893016:125]
123981p (2 curves)	1	3- 11+ 13- 17+	-1 3-  0  0 11+ 13- 17+ -8
Curve Equation t Generators 123981p1 [1,0,0,572,6695] 2 [7793:684068:1] 123981p2 [1,0,0,-3763,66518] 2 [49:-5:1]
123981q (1 curve)	1	3- 11+ 13- 17+	2 3- -3  0 11+ 13- 17+  6
Curve Equation t Generators 123981q1 [0,1,1,1638,-2653] 1 [90:1049:8]
123981r (1 curve)	1	3- 11- 13+ 17+	-1 3- -2 -3 11- 13+ 17+ -2
Curve Equation t Generators 123981r1 [1,0,0,266,-1567] 1 [41:-301:1]
123981s (2 curves)	0	3- 11- 13- 17+	1 3-  0  4 11- 13- 17+ -2
Curve Equation t 123981s1 [1,0,1,-31941,-2179229] 2 123981s2 [1,0,1,-7376,-5441461] 2
123981t (2 curves)	0	3- 11- 13- 17+	1 3-  2  0 11- 13- 17+  2
Curve Equation t 123981t1 [1,0,1,-159985,-24643369] 2 123981t2 [1,0,1,-159900,-24670841] 2
123981u (1 curve)	0	3- 11- 13- 17+	-2 3-  2  3 11- 13- 17+  2
Curve Equation t 123981u1 [0,1,1,1638,2143478] 1

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

Part of Computational Number Theory
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