Cremona's table of elliptic curves

5490 = 2 · 3² · 5 · 61

Class	r	Atkin-Lehner	Eigenvalues
5490a (1 curve)	1	2+ 3+ 5+ 61+	2+ 3+ 5+ -1  0 -3 -4 -8
Curve Equation t Generators 5490a1 [1,-1,0,-2580,-59824] 1 [187:2350:1]
5490b (2 curves)	1	2+ 3+ 5+ 61+	2+ 3+ 5+ -4  0  0  2  4
Curve Equation t Generators 5490b1 [1,-1,0,-1095,14345] 2 [16:19:1] 5490b2 [1,-1,0,-17565,900431] 2 [43:451:1]
5490c (1 curve)	0	2+ 3+ 5+ 61-	2+ 3+ 5+  3  0  3  0 -4
Curve Equation t 5490c1 [1,-1,0,-105,-389] 1
5490d (1 curve)	1	2+ 3+ 5- 61-	2+ 3+ 5- -3 -4  1  4 -4
Curve Equation t Generators 5490d1 [1,-1,0,615936,-69345280] 1 [3931:249202:1]
5490e (6 curves)	1	2+ 3- 5+ 61-	2+ 3- 5+  0  4 -2 -2  4
Curve Equation t Generators 5490e1 [1,-1,0,65025,100346125] 2 [-90391:2807489:343] 5490e2 [1,-1,0,-2884095,1827940621] 4 [-1405:56426:1] 5490e3 [1,-1,0,-7204095,-4931131379] 2 [-2098:31793:1] 5490e4 [1,-1,0,-45750015,119117670925] 4 [14211:1522195:1] 5490e5 [1,-1,0,-732000015,7622986920925] 2 [-6310:3465905:1] 5490e6 [1,-1,0,-45354735,121276769341] 2 [31204719:3346770175:2197]
5490f (2 curves)	1	2+ 3- 5+ 61-	2+ 3- 5+  0  6  6 -6 -4
Curve Equation t Generators 5490f1 [1,-1,0,-45,85] 2 [-7:8:1] 5490f2 [1,-1,0,135,481] 2 [8:41:1]
5490g (1 curve)	1	2+ 3- 5+ 61-	2+ 3- 5+  0 -6  3  3 -1
Curve Equation t Generators 5490g1 [1,-1,0,-225,-23369] 1 [35:86:1]
5490h (1 curve)	1	2+ 3- 5+ 61-	2+ 3- 5+  3 -2  1 -2 -2
Curve Equation t Generators 5490h1 [1,-1,0,-225,2875] 1 [11:35:1]
5490i (1 curve)	1	2+ 3- 5+ 61-	2+ 3- 5+ -4  6 -5  3 -5
Curve Equation t Generators 5490i1 [1,-1,0,-78795,-9454779] 1 [25518:1422471:8]
5490j (2 curves)	1	2+ 3- 5- 61+	2+ 3- 5-  2 -2 -6 -6  4
Curve Equation t Generators 5490j1 [1,-1,0,1026,-28220] 2 [56:422:1] 5490j2 [1,-1,0,-9954,-329072] 2 [-58:254:1]
5490k (1 curve)	1	2+ 3- 5- 61+	2+ 3- 5- -4  2  1  3 -5
Curve Equation t Generators 5490k1 [1,-1,0,171,-2187] 1 [9:0:1]
5490l (2 curves)	0	2+ 3- 5- 61-	2+ 3- 5-  5 -6 -1  6  2
Curve Equation t 5490l1 [1,-1,0,306,1620] 1 5490l2 [1,-1,0,-7254,242028] 3
5490m (1 curve)	1	2- 3+ 5+ 61-	2- 3+ 5+ -3  4  1 -4 -4
Curve Equation t Generators 5490m1 [1,-1,1,68437,2545531] 1 [-29:746:1]
5490n (1 curve)	1	2- 3+ 5- 61+	2- 3+ 5- -1  0 -3  4 -8
Curve Equation t Generators 5490n1 [1,-1,1,-287,2311] 1 [31:-166:1]
5490o (2 curves)	1	2- 3+ 5- 61+	2- 3+ 5- -4  0  0 -2  4
Curve Equation t Generators 5490o1 [1,-1,1,-122,-491] 2 [109:1073:1] 5490o2 [1,-1,1,-1952,-32699] 2 [7220:65683:64]
5490p (1 curve)	0	2- 3+ 5- 61-	2- 3+ 5-  3  0  3  0 -4
Curve Equation t 5490p1 [1,-1,1,-947,11449] 1
5490q (1 curve)	1	2- 3- 5+ 61+	2- 3- 5+  1 -2  5 -6 -6
Curve Equation t Generators 5490q1 [1,-1,1,-21533,-1215579] 1 [221:2076:1]
5490r (2 curves)	1	2- 3- 5+ 61+	2- 3- 5+ -2 -2 -2  6 -4
Curve Equation t Generators 5490r1 [1,-1,1,-878,-132739] 2 [63:211:1] 5490r2 [1,-1,1,-44798,-3611203] 2 [-117:193:1]
5490s (1 curve)	1	2- 3- 5+ 61+	2- 3- 5+ -2  4 -1 -3 -3
Curve Equation t Generators 5490s1 [1,-1,1,-12533,671757] 1 [95:-624:1]
5490t (1 curve)	1	2- 3- 5+ 61+	2- 3- 5+ -2  4 -5 -3  5
Curve Equation t Generators 5490t1 [1,-1,1,292,-1519] 1 [54:185:8]
5490u (4 curves)	0	2- 3- 5+ 61-	2- 3- 5+  0  4 -2  2 -4
Curve Equation t 5490u1 [1,-1,1,-1478,-21419] 2 5490u2 [1,-1,1,-2198,2197] 4 5490u3 [1,-1,1,-24698,1496197] 2 5490u4 [1,-1,1,8782,10981] 2
5490v (1 curve)	1	2- 3- 5- 61-	2- 3- 5-  0 -2  1 -7 -1
Curve Equation t Generators 5490v1 [1,-1,1,-317,2341] 1 [1:44:1]
5490w (2 curves)	1	2- 3- 5- 61-	2- 3- 5-  2  0 -7 -3 -7
Curve Equation t Generators 5490w1 [1,-1,1,-5882,-172159] 1 [159:1621:1] 5490w2 [1,-1,1,-617,-469591] 3 [87:316:1]

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

Part of Computational Number Theory
Back to Tables and computations