Cremona's table of elliptic curves

34545 = 3 · 5 · 7² · 47

Class	r	Atkin-Lehner	Eigenvalues
34545a (1 curve)	0	3+ 5+ 7- 47+	0 3+ 5+ 7-  5  2  3 -5
Curve Equation t 34545a1 [0,-1,1,-64941,-6400339] 1
34545b (4 curves)	0	3+ 5+ 7- 47+	1 3+ 5+ 7-  4 -2 -6  0
Curve Equation t 34545b1 [1,1,0,-18008,-937677] 2 34545b2 [1,1,0,-18253,-911168] 4 34545b3 [1,1,0,12372,-3624543] 2 34545b4 [1,1,0,-52798,3503683] 2
34545c (2 curves)	0	3+ 5+ 7- 47+	1 3+ 5+ 7-  6  4  2 -6
Curve Equation t 34545c1 [1,1,0,857,7288] 2 34545c2 [1,1,0,-4288,59767] 2
34545d (2 curves)	0	3+ 5+ 7- 47+	-1 3+ 5+ 7-  6 -2  8 -4
Curve Equation t 34545d1 [1,1,1,-5881,71294] 2 34545d2 [1,1,1,-48756,-4113306] 2
34545e (2 curves)	1	3+ 5+ 7- 47-	-1 3+ 5+ 7- -2  6  4  4
Curve Equation t Generators 34545e1 [1,1,1,-316296,-58763496] 2 [21531:3147578:1] 34545e2 [1,1,1,-1388171,571927754] 2 [3982:15155:8]
34545f (6 curves)	1	3+ 5+ 7- 47-	-1 3+ 5+ 7- -4  2 -2  4
Curve Equation t Generators 34545f1 [1,1,1,-255046,-49424782] 2 [-281:532:1] 34545f2 [1,1,1,-408171,16663968] 4 [6502:116109:8] 34545f3 [1,1,1,1606954,134347268] 2 [62754:5372143:216] 34545f4 [1,1,1,-4873296,4131723168] 4 [1211:2214:1] 34545f5 [1,1,1,-3252621,6926415138] 2 [139342:18234099:8] 34545f6 [1,1,1,-77935971,264790122498] 2 [326228:-157083:64]
34545g (1 curve)	2	3+ 5- 7+ 47+	-2 3+ 5- 7+  0 -3 -6 -5
Curve Equation t Generators 34545g1 [0,-1,1,180,188] 1 [-1:2:1]&[2:23:1]
34545h (1 curve)	1	3+ 5- 7- 47+	1 3+ 5- 7- -2  1 -3  3
Curve Equation t Generators 34545h1 [1,1,0,318,-111] 1 [8:51:1]
34545i (2 curves)	1	3+ 5- 7- 47+	1 3+ 5- 7- -2 -4  2 -2
Curve Equation t Generators 34545i1 [1,1,0,-7410687,7766054136] 2 [198708:7660041:64] 34545i2 [1,1,0,-118588992,497017303119] 2 [1658:551401:1]
34545j (2 curves)	1	3+ 5- 7- 47+	-1 3+ 5- 7- -2  4  2 -2
Curve Equation t Generators 34545j1 [1,1,1,13180,-2846068] 2 [132:1036:1] 34545j2 [1,1,1,-238925,-42275290] 2 [-232:973:1]
34545k (1 curve)	1	3+ 5- 7- 47+	-1 3+ 5- 7- -2  7 -1  1
Curve Equation t Generators 34545k1 [1,1,1,-1765,-29548] 1 [114400:275956:2197]
34545l (4 curves)	1	3+ 5- 7- 47+	-1 3+ 5- 7-  4 -2  2  4
Curve Equation t Generators 34545l1 [1,1,1,-148520,21968120] 4 [-22:5033:1] 34545l2 [1,1,1,-154645,20049770] 4 [-27:4933:1] 34545l3 [1,1,1,265530,110471430] 2 [95010:3771455:216] 34545l4 [1,1,1,-672820,-193023790] 2 [-179640:119945:512]
34545m (1 curve)	1	3+ 5- 7- 47+	2 3+ 5- 7-  1 -2  5  7
Curve Equation t Generators 34545m1 [0,-1,1,-50780,102182681] 1 [-3670:42871:8]
34545n (1 curve)	1	3+ 5- 7- 47+	2 3+ 5- 7- -2  1 -4  4
Curve Equation t Generators 34545n1 [0,-1,1,7530,64721] 1 [1098:15311:8]
34545o (1 curve)	1	3+ 5- 7- 47+	-2 3+ 5- 7- -5  2 -7  1
Curve Equation t Generators 34545o1 [0,-1,1,670,-4222] 1 [19:-123:1]
34545p (2 curves)	2	3+ 5- 7- 47-	0 3+ 5- 7- -6 -5 -6 -2
Curve Equation t Generators 34545p1 [0,-1,1,425,-6084] 1 [12:24:1]&[16:67:1] 34545p2 [0,-1,1,-3985,204273] 1 [-71:352:1]&[117:1151:1]
34545q (1 curve)	1	3- 5+ 7- 47+	-1 3- 5+ 7-  6 -3  3  1
Curve Equation t Generators 34545q1 [1,0,0,-5881,-14520430] 1 [87773:252797:343]
34545r (1 curve)	0	3- 5+ 7- 47-	-2 3- 5+ 7-  0  3  6  5
Curve Equation t 34545r1 [0,1,1,8804,-82190] 1
34545s (1 curve)	0	3- 5+ 7- 47-	-2 3- 5+ 7- -6  3  0  8
Curve Equation t 34545s1 [0,1,1,-98016,-11862574] 1
34545t (4 curves)	0	3- 5- 7- 47+	-1 3- 5- 7-  0  6  6  4
Curve Equation t 34545t1 [1,0,0,-3999627255,-96374934326448] 4 34545t2 [1,0,0,-63814080380,-6204734553467073] 4 34545t3 [1,0,0,-63634158505,-6241461681951448] 2 34545t4 [1,0,0,-1021025252255,-397102783792170198] 2
34545u (2 curves)	2	3- 5- 7- 47+	-1 3- 5- 7- -2 -6 -4 -4
Curve Equation t Generators 34545u1 [1,0,0,-6455,170400] 2 [235:-3530:1]&[-80:460:1] 34545u2 [1,0,0,-28330,-1671475] 2 [305:4100:1]&[-890:3055:8]
34545v (1 curve)	1	3- 5- 7- 47-	0 3- 5- 7-  2 -1  2  6
Curve Equation t Generators 34545v1 [0,1,1,-283285,-59754194] 1 [1430:-49613:1]
34545w (1 curve)	1	3- 5- 7- 47-	0 3- 5- 7-  5 -2 -3  5
Curve Equation t Generators 34545w1 [0,1,1,-1325,18281] 1 [-5:157:1]
34545x (2 curves)	1	3- 5- 7- 47-	-1 3- 5- 7-  6  2 -8  4
Curve Equation t Generators 34545x1 [1,0,0,-120,-225] 2 [-3:12:1] 34545x2 [1,0,0,-995,11850] 2 [25:-65:1]

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