Cremona's table of elliptic curves

83300 = 2² · 5² · 7² · 17

Class	r	Atkin-Lehner	Eigenvalues
83300a (1 curve)	0	2- 5+ 7+ 17+	2-  0 5+ 7+ -1  1 17+  4
Curve Equation t 83300a1 [0,0,0,-214375,45018750] 1
83300b (1 curve)	1	2- 5+ 7+ 17-	2-  1 5+ 7+ -5  5 17- -6
Curve Equation t Generators 83300b1 [0,1,0,14292,-684412] 1 [163:2450:1]
83300c (2 curves)	1	2- 5+ 7+ 17-	2- -1 5+ 7+  0  4 17- -4
Curve Equation t Generators 83300c1 [0,-1,0,-251533,48592937] 1 [272:475:1] 83300c2 [0,-1,0,-937533,-298523063] 1 [-413:4250:1]
83300d (1 curve)	1	2- 5+ 7+ 17-	2- -1 5+ 7+  2  0 17- -4
Curve Equation t Generators 83300d1 [0,-1,0,-26133,-1200863] 1 [-128:175:1]
83300e (1 curve)	1	2- 5+ 7+ 17-	2- -1 5+ 7+ -3  5 17-  6
Curve Equation t Generators 83300e1 [0,-1,0,-5336508,6666443512] 1 [4242:245650:1]
83300f (1 curve)	1	2- 5+ 7+ 17-	2-  3 5+ 7+  1 -3 17- -2
Curve Equation t Generators 83300f1 [0,0,0,-8575,-306250] 1 [620550:17993150:729]
83300g (1 curve)	1	2- 5+ 7- 17+	2-  0 5+ 7-  2  1 17+ -8
Curve Equation t Generators 83300g1 [0,0,0,-10770200,13605266500] 1 [2940:85750:1]
83300h (1 curve)	1	2- 5+ 7- 17+	2-  0 5+ 7- -3 -4 17+ -2
Curve Equation t Generators 83300h1 [0,0,0,214375,-52521875] 1 [15282:684811:8]
83300i (2 curves)	1	2- 5+ 7- 17+	2-  0 5+ 7- -4 -2 17+  4
Curve Equation t Generators 83300i1 [0,0,0,-700,-18375] 2 [70:525:1] 83300i2 [0,0,0,-15575,-747250] 2 [155:750:1]
83300j (2 curves)	1	2- 5+ 7- 17+	2-  1 5+ 7-  0 -1 17+  4
Curve Equation t Generators 83300j1 [0,1,0,572,1588] 1 [94263:718502:2197] 83300j2 [0,1,0,-9228,350468] 1 [52:118:1]
83300k (2 curves)	1	2- 5+ 7- 17+	2-  1 5+ 7-  0 -4 17+  4
Curve Equation t Generators 83300k1 [0,1,0,-5133,-143137] 1 [-89414:7925:2197] 83300k2 [0,1,0,-19133,864863] 1 [53:50:1]
83300l (1 curve)	1	2- 5+ 7- 17+	2-  1 5+ 7-  2  0 17+  4
Curve Equation t Generators 83300l1 [0,1,0,-1280533,414457063] 1 [-963798:829904375:39304]
83300m (1 curve)	1	2- 5+ 7- 17+	2-  1 5+ 7- -3 -5 17+ -6
Curve Equation t Generators 83300m1 [0,1,0,-108908,-19466812] 1 [74316:3869650:27]
83300n (1 curve)	1	2- 5+ 7- 17+	2- -1 5+ 7- -5 -5 17+  6
Curve Equation t Generators 83300n1 [0,-1,0,292,1912] 1 [2:50:1]
83300o (2 curves)	1	2- 5+ 7- 17+	2- -2 5+ 7- -3 -4 17+  4
Curve Equation t Generators 83300o1 [0,1,0,-683958,-227425787] 1 [8682:140777:8] 83300o2 [0,1,0,3603542,-506113287] 1 [3572:240737:1]
83300p (2 curves)	1	2- 5+ 7- 17+	2- -2 5+ 7-  6  5 17+ -2
Curve Equation t Generators 83300p1 [0,1,0,42467,-2189937] 1 [394:1225:8] 83300p2 [0,1,0,-447533,149710063] 1 [793:17150:1]
83300q (1 curve)	1	2- 5+ 7- 17+	2- -3 5+ 7-  1  3 17+  2
Curve Equation t Generators 83300q1 [0,0,0,-420175,105043750] 1 [550:6350:1]
83300r (1 curve)	0	2- 5+ 7- 17-	2-  0 5+ 7- -1 -1 17- -4
Curve Equation t 83300r1 [0,0,0,-4375,-131250] 1
83300s (1 curve)	0	2- 5+ 7- 17-	2-  0 5+ 7-  2 -1 17-  8
Curve Equation t 83300s1 [0,0,0,-219800,-39665500] 1
83300t (2 curves)	0	2- 5+ 7- 17-	2-  0 5+ 7-  2 -6 17-  0
Curve Equation t 83300t1 [0,0,0,-34300,-2443875] 2 83300t2 [0,0,0,-28175,-3344250] 2
83300u (1 curve)	0	2- 5+ 7- 17-	2-  0 5+ 7- -3  4 17-  2
Curve Equation t 83300u1 [0,0,0,4375,153125] 1
83300v (2 curves)	0	2- 5+ 7- 17-	2-  0 5+ 7- -4  2 17- -4
Curve Equation t 83300v1 [0,0,0,-34300,6302625] 2 83300v2 [0,0,0,-763175,256306750] 2
83300w (1 curve)	0	2- 5+ 7- 17-	2-  0 5+ 7-  5  2 17- -4
Curve Equation t 83300w1 [0,0,0,-245,-5091835] 1
83300x (1 curve)	1	2- 5- 7+ 17+	2- -1 5- 7+  4  4 17+  4
Curve Equation t Generators 83300x1 [0,-1,0,572,-351448] 1 [82:490:1]
83300y (1 curve)	0	2- 5- 7+ 17-	2-  0 5- 7+ -1 -1 17-  4
Curve Equation t 83300y1 [0,0,0,-8575,360150] 1
83300z (1 curve)	0	2- 5- 7+ 17-	2-  1 5- 7+  4 -4 17-  4
Curve Equation t 83300z1 [0,1,0,14292,-43902412] 1
83300ba (1 curve)	0	2- 5- 7- 17+	2-  0 5- 7-  0 -7 17+ -4
Curve Equation t 83300ba1 [0,0,0,-438893000,-6722495587500] 1
83300bb (1 curve)	0	2- 5- 7- 17+	2-  0 5- 7- -1  1 17+ -4
Curve Equation t 83300bb1 [0,0,0,-175,-1050] 1
83300bc (1 curve)	2	2- 5- 7- 17+	2-  0 5- 7- -3 -4 17+  2
Curve Equation t Generators 83300bc1 [0,0,0,175,1225] 1 [15:85:1]&[0:35:1]
83300bd (1 curve)	0	2- 5- 7- 17+	2-  0 5- 7-  5 -2 17+ -4
Curve Equation t 83300bd1 [0,0,0,-6125,-636479375] 1
83300be (2 curves)	0	2- 5- 7- 17+	2-  0 5- 7-  6  2 17+ -4
Curve Equation t 83300be1 [0,0,0,-1960,25725] 2 83300be2 [0,0,0,-10535,-394450] 2
83300bf (1 curve)	0	2- 5- 7- 17+	2- -1 5- 7-  4  4 17+ -4
Curve Equation t 83300bf1 [0,-1,0,292,127912] 1
83300bg (1 curve)	1	2- 5- 7- 17-	2-  0 5- 7-  0  7 17- -4
Curve Equation t Generators 83300bg1 [0,0,0,-17555720,-53779964700] 1 [152530:20462645:8]
83300bh (1 curve)	1	2- 5- 7- 17-	2-  0 5- 7- -3  4 17- -2
Curve Equation t Generators 83300bh1 [0,0,0,8575,-420175] 1 [49:343:1]
83300bi (2 curves)	1	2- 5- 7- 17-	2-  0 5- 7-  6 -2 17- -4
Curve Equation t Generators 83300bi1 [0,0,0,-49000,3215625] 2 [-21:2058:1] 83300bi2 [0,0,0,-263375,-49306250] 2 [-1918:1911:8]
83300bj (1 curve)	1	2- 5- 7- 17-	2-  1 5- 7-  4 -4 17- -4
Curve Equation t Generators 83300bj1 [0,1,0,12,1028] 1 [4:-34:1]
83300bk (2 curves)	1	2- 5- 7- 17-	2- -1 5- 7-  0  1 17-  4
Curve Equation t Generators 83300bk1 [0,-1,0,14292,169912] 1 [21:692:1] 83300bk2 [0,-1,0,-230708,44269912] 1 [317:1700:1]
83300bl (2 curves)	1	2- 5- 7- 17-	2-  2 5- 7- -3  4 17-  4
Curve Equation t Generators 83300bl1 [0,-1,0,-27358,-1808463] 1 [411:7497:1] 83300bl2 [0,-1,0,144142,-4106563] 1 [3547:212415:1]

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