Cremona's table of elliptic curves

70550 = 2 · 5² · 17 · 83

Class	r	Atkin-Lehner	Eigenvalues
70550a (4 curves)	1	2+ 5+ 17+ 83+	2+  0 5+  0  0  2 17+  4
Curve Equation t Generators 70550a1 [1,-1,0,-3679667,-2702117259] 2 [-581585675827:-416100433074:498677257] 70550a2 [1,-1,0,-58791667,-173494205259] 4 [-1730893803117582670468135:845863636360446927612182:390979176928213618277] 70550a3 [1,-1,0,-58708667,-174008556259] 2 [1876557284799884574350656435628252032914869485:-123582400090831409188367300886915736603258829762:170175902848656558713588186061350101553393] 70550a4 [1,-1,0,-940666667,-11104334830259] 2 [-4142935540646004076746200008260063144765585590726835:2071466977688266945099023146913498125097467280613022:233968320545187786587640977045164297449084478017]
70550b (1 curve)	1	2+ 5+ 17+ 83+	2+  0 5+ -3  6  5 17+ -8
Curve Equation t Generators 70550b1 [1,-1,0,-42617,3394541] 1 [-227:1268:1]
70550c (2 curves)	1	2+ 5+ 17+ 83+	2+  2 5+ -4  2 -2 17+  4
Curve Equation t Generators 70550c1 [1,1,0,-4150,0] 2 [-450:2175:8] 70550c2 [1,1,0,16600,20750] 2 [3786:119813:216]
70550d (2 curves)	0	2+ 5+ 17+ 83-	2+  0 5+ -2  0 -2 17+  4
Curve Equation t 70550d1 [1,-1,0,-94067,8964341] 2 70550d2 [1,-1,0,-1422067,653044341] 2
70550e (1 curve)	0	2+ 5+ 17+ 83-	2+ -1 5+ -2  3  5 17+ -3
Curve Equation t 70550e1 [1,1,0,975,23125] 1
70550f (2 curves)	0	2+ 5+ 17+ 83-	2+  2 5+ -2  3 -5 17+ -1
Curve Equation t 70550f1 [1,1,0,-59400,-3448000] 1 70550f2 [1,1,0,-4275400,-3404400000] 1
70550g (1 curve)	2	2+ 5+ 17+ 83-	2+ -3 5+  0  2 -5 17+ -5
Curve Equation t Generators 70550g1 [1,-1,0,833,30991] 1 [-21:73:1]&[99:988:1]
70550h (1 curve)	2	2+ 5+ 17- 83+	2+ -2 5+ -2  3 -1 17-  1
Curve Equation t Generators 70550h1 [1,0,1,-501,4148] 1 [17:-34:1]&[-8:91:1]
70550i (1 curve)	0	2+ 5+ 17- 83+	2+  3 5+ -1 -1  4 17- -8
Curve Equation t 70550i1 [1,-1,0,8,9536] 1
70550j (1 curve)	1	2+ 5+ 17- 83-	2+ -1 5+  2 -4  5 17- -1
Curve Equation t Generators 70550j1 [1,1,0,-67427794525,6739144014720125] 1 [2336075525:3132491494:15625]
70550k (1 curve)	1	2+ 5+ 17- 83-	2+  2 5+  2  5 -1 17- -1
Curve Equation t Generators 70550k1 [1,1,0,-1909750,1015012500] 1 [6900:559050:1]
70550l (1 curve)	0	2+ 5- 17+ 83+	2+  0 5-  1  5 -4 17+ -7
Curve Equation t 70550l1 [1,-1,0,2773,-17019] 1
70550m (1 curve)	2	2+ 5- 17+ 83+	2+ -2 5- -4 -3 -5 17+ -1
Curve Equation t Generators 70550m1 [1,0,1,-156,-742] 1 [-8:6:1]&[-7:7:1]
70550n (1 curve)	0	2+ 5- 17+ 83+	2+  3 5- -2 -4 -7 17+ -7
Curve Equation t 70550n1 [1,-1,0,-264367,-91573459] 1
70550o (1 curve)	1	2+ 5- 17+ 83-	2+  2 5- -4 -5 -5 17+  1
Curve Equation t Generators 70550o1 [1,1,0,-6460655,-6323218075] 1 [6481959430:1087666033405:226981]
70550p (1 curve)	1	2+ 5- 17- 83+	2+  1 5- -1  3  4 17-  6
Curve Equation t Generators 70550p1 [1,0,1,-4185302326,104216602831048] 1 [82061369:-40596583:2197]
70550q (1 curve)	1	2+ 5- 17- 83+	2+  1 5- -1 -4 -3 17-  6
Curve Equation t Generators 70550q1 [1,0,1,-22801,-1327052] 1 [191:1042:1]
70550r (1 curve)	1	2+ 5- 17- 83+	2+  1 5-  4 -2 -1 17-  1
Curve Equation t Generators 70550r1 [1,0,1,20174,-5286452] 1 [206208:3398219:729]
70550s (2 curves)	1	2+ 5- 17- 83+	2+ -2 5- -1 -6 -1 17-  2
Curve Equation t Generators 70550s1 [1,0,1,-2826,50798] 3 [-434:1913:8] 70550s2 [1,0,1,-55951,-5091702] 1 [-1106:1161:8]
70550t (1 curve)	2	2+ 5- 17- 83-	2+ -1 5- -3 -4  5 17- -6
Curve Equation t Generators 70550t1 [1,1,0,4225,38725] 1 [59:676:1]&[110:1305:1]
70550u (1 curve)	0	2- 5+ 17+ 83+	2-  0 5+  3  3 -4 17+ -5
Curve Equation t 70550u1 [1,-1,1,-355,-2853] 1
70550v (1 curve)	0	2- 5+ 17+ 83+	2-  1 5+  3 -4 -5 17+ -6
Curve Equation t 70550v1 [1,0,0,105612,4629392] 1
70550w (1 curve)	1	2- 5+ 17+ 83-	2-  1 5+  0  3 -5 17+  5
Curve Equation t Generators 70550w1 [1,0,0,-88,-458] 1 [186648:312251:13824]
70550x (1 curve)	1	2- 5+ 17+ 83-	2- -1 5+  1  3 -4 17+  6
Curve Equation t Generators 70550x1 [1,1,1,-167412093,833665857811] 1 [933755:-471564:125]
70550y (1 curve)	1	2- 5+ 17+ 83-	2- -1 5+  1 -4  3 17+  6
Curve Equation t Generators 70550y1 [1,1,1,-570013,-165881469] 1 [76899231:1633765728:68921]
70550z (2 curves)	1	2- 5+ 17+ 83-	2- -1 5+  4 -3  7 17+  5
Curve Equation t Generators 70550z1 [1,1,1,-17638,894531] 1 [75:-63:1] 70550z2 [1,1,1,9987,3376531] 1 [65:-2108:1]
70550ba (2 curves)	1	2- 5+ 17+ 83-	2-  2 5+  1 -6  1 17+  2
Curve Equation t Generators 70550ba1 [1,1,1,-113,361] 1 [2390:8943:1000] 70550ba2 [1,1,1,-2238,-41629] 1 [-3405:2387:125]
70550bb (1 curve)	1	2- 5+ 17+ 83-	2-  2 5+  2  3  1 17+ -3
Curve Equation t Generators 70550bb1 [1,1,1,-12030688,-15911262719] 1 [-53385:358679:27]
70550bc (1 curve)	1	2- 5+ 17- 83+	2- -2 5+  0 -1  1 17-  3
Curve Equation t Generators 70550bc1 [1,0,0,-28713,-1666583] 1 [-88:469:1]
70550bd (1 curve)	2	2- 5+ 17- 83-	2- -1 5+ -4 -2  1 17- -5
Curve Equation t Generators 70550bd1 [1,1,1,-55688,5302281] 1 [-219:2765:1]&[-155:3277:1]
70550be (1 curve)	0	2- 5+ 17- 83-	2-  2 5+  2  5  5 17-  5
Curve Equation t 70550be1 [1,1,1,-2365838,-1398100469] 1
70550bf (1 curve)	2	2- 5- 17+ 83-	2- -1 5- -4 -2  1 17+  1
Curve Equation t Generators 70550bf1 [1,1,1,807,-41969] 1 [29:68:1]&[205:2862:1]
70550bg (1 curve)	2	2- 5- 17+ 83-	2- -3 5-  1 -1 -4 17+ -8
Curve Equation t Generators 70550bg1 [1,-1,1,195,1192197] 1 [-105:128:1]&[119:1640:1]
70550bh (1 curve)	0	2- 5- 17- 83+	2- -2 5-  4 -5  5 17-  1
Curve Equation t 70550bh1 [1,0,0,-161516388,-790079226608] 1
70550bi (1 curve)	1	2- 5- 17- 83-	2-  0 5- -1  5  4 17- -7
Curve Equation t Generators 70550bi1 [1,-1,1,69320,-2058053] 1 [269:5865:1]
70550bj (1 curve)	1	2- 5- 17- 83-	2-  0 5-  3  6 -5 17- -8
Curve Equation t Generators 70550bj1 [1,-1,1,-1705,27497] 1 [23:-4:1]
70550bk (1 curve)	1	2- 5- 17- 83-	2-  2 5-  4 -3  5 17- -1
Curve Equation t Generators 70550bk1 [1,1,1,-3888,-92719] 1 [-1005:1739:27]
70550bl (1 curve)	1	2- 5- 17- 83-	2- -3 5-  2 -4  7 17- -7
Curve Equation t Generators 70550bl1 [1,-1,1,-10575,-730473] 1 [223:-2934:1]

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