Cremona's table of elliptic curves

6405 = 3 · 5 · 7 · 61

Class	r	Atkin-Lehner	Eigenvalues
6405a (1 curve)	0	3+ 5+ 7+ 61-	-2 3+ 5+ 7+ -5  1  3  8
Curve Equation t 6405a1 [0,-1,1,-16786,-830454] 1
6405b (1 curve)	0	3+ 5+ 7- 61+	0 3+ 5+ 7- -3 -5  3  2
Curve Equation t 6405b1 [0,-1,1,-11991,-484693] 1
6405c (1 curve)	2	3+ 5+ 7- 61+	-2 3+ 5+ 7- -6 -2 -1 -2
Curve Equation t Generators 6405c1 [0,-1,1,-36,146] 1 [28:-143:1]&[-6:10:1]
6405d (4 curves)	1	3+ 5+ 7- 61-	1 3+ 5+ 7- -4  2  6  0
Curve Equation t Generators 6405d1 [1,1,0,-198,1863] 2 [-294:1595:27] 6405d2 [1,1,0,-3843,90072] 4 [-44:442:1] 6405d3 [1,1,0,-4518,55377] 2 [64:151:1] 6405d4 [1,1,0,-61488,5843043] 2 [2942:44579:8]
6405e (6 curves)	1	3+ 5- 7+ 61-	-1 3+ 5- 7+  4 -2  2  4
Curve Equation t Generators 6405e1 [1,1,1,-4614040,3816324440] 4 [38342668:5009667415:2197] 6405e2 [1,1,1,-73843245,244207815882] 8 [7584332360084502:65005815602918676:1416626239391] 6405e3 [1,1,1,-73861850,244078578110] 4 [1125718:567594898:1331] 6405e4 [1,1,1,-1181491920,15630777090042] 4 [7616017202259867664763730822765:-3808779655649363144342573495242:383779832390231012619741073] 6405e5 [1,1,1,-92169475,113779549460] 2 [-1684497177:31173038812213:91733851] 6405e6 [1,1,1,-55851905,366106761452] 2 [222:594631:1]
6405f (2 curves)	1	3+ 5- 7+ 61-	-1 3+ 5- 7+  4  4 -4 -2
Curve Equation t Generators 6405f1 [1,1,1,-25,-58] 2 [6:4:1] 6405f2 [1,1,1,0,-138] 2 [10:26:1]
6405g (1 curve)	1	3+ 5- 7+ 61-	2 3+ 5- 7+  1  1 -7  4
Curve Equation t Generators 6405g1 [0,-1,1,-19220,1031963] 1 [602:621:8]
6405h (1 curve)	1	3+ 5- 7+ 61-	-2 3+ 5- 7+ -2 -2 -3  2
Curve Equation t Generators 6405h1 [0,-1,1,-6830,219578] 1 [74:337:1]
6405i (1 curve)	0	3- 5+ 7+ 61+	0 3- 5+ 7+  5  5  5  6
Curve Equation t 6405i1 [0,1,1,-21,-40] 1
6405j (4 curves)	1	3- 5+ 7+ 61-	1 3- 5+ 7+  4 -2  2 -4
Curve Equation t Generators 6405j1 [1,0,1,-449,-1753] 2 [45:241:1] 6405j2 [1,0,1,-3574,80747] 4 [43:62:1] 6405j3 [1,0,1,-56949,5226097] 4 [11:2139:1] 6405j4 [1,0,1,-199,227897] 2 [-47:389:1]
6405k (3 curves)	0	3- 5+ 7- 61-	0 3- 5+ 7-  3  5  3  2
Curve Equation t 6405k1 [0,1,1,-293231,43361066] 3 6405k2 [0,1,1,-8756921,-9974439565] 3 6405k3 [0,1,1,-709258961,-7270587131884] 1
6405l (4 curves)	1	3- 5- 7- 61-	1 3- 5- 7-  0  2 -6  0
Curve Equation t Generators 6405l1 [1,0,1,-127182618,552053813431] 2 [188085:1643224:27] 6405l2 [1,0,1,-127182623,552053767853] 4 [1389:614185:1] 6405l3 [1,0,1,-127573328,548491163381] 2 [10990:4898901:8] 6405l4 [1,0,1,-126791998,555613455353] 4 [47509:10064120:1]
6405m (2 curves)	1	3- 5- 7- 61-	-2 3- 5- 7- -3 -1  3  0
Curve Equation t Generators 6405m1 [0,1,1,-2560,25306] 5 [-55:52:1] 6405m2 [0,1,1,-751210,-250855814] 1 [-4006:-1:8]

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