Cremona's table of elliptic curves

71825 = 5² · 13² · 17

Class	r	Atkin-Lehner	Eigenvalues
71825a (1 curve)	1	5+ 13+ 17+	1  0 5+ -1 -4 13+ 17+ -8
Curve Equation t Generators 71825a1 [1,-1,0,53,66] 1 [10:34:1]
71825b (1 curve)	1	5+ 13+ 17+	1  1 5+  1  4 13+ 17+  6
Curve Equation t Generators 71825b1 [1,0,1,-511,4903] 1 [2429:12571:343]
71825c (2 curves)	1	5+ 13+ 17+	1 -2 5+  2  6 13+ 17+ -4
Curve Equation t Generators 71825c1 [1,0,1,-251476,48512973] 2 [1846:12423:8] 71825c2 [1,0,1,-230351,57005223] 2 [-77:8657:1]
71825d (2 curves)	1	5+ 13+ 17+	1 -2 5+ -2 -2 13+ 17+  0
Curve Equation t Generators 71825d1 [1,0,1,-36001,-2617977] 2 [-874:1383:8] 71825d2 [1,0,1,-14876,-5659977] 2 [261:2742:1]
71825e (1 curve)	1	5+ 13+ 17+	-1  0 5+  1  4 13+ 17+  8
Curve Equation t Generators 71825e1 [1,-1,1,8925,171812] 1 [115102:3855905:6859]
71825f (2 curves)	1	5+ 13+ 17+	-1  0 5+ -2  4 13+ 17+  2
Curve Equation t Generators 71825f1 [1,-1,1,-60787980,-182405737978] 2 [21919163035827060:-457224596549230342:2385156564881] 71825f2 [1,-1,1,-60766855,-182538867728] 2 [586363078:74161700361:29791]
71825g (2 curves)	1	5+ 13+ 17+	-1  0 5+ -2 -6 13+ 17+ -8
Curve Equation t Generators 71825g1 [1,-1,1,-3095605,2093716772] 2 [894:5890:1] 71825g2 [1,-1,1,-49507230,134088378272] 2 [4560:53743:1]
71825h (4 curves)	1	5+ 13+ 17+	-1  0 5+  4  0 13+ 17+  4
Curve Equation t Generators 71825h1 [1,-1,1,-2905,26472] 2 [-51:225:1] 71825h2 [1,-1,1,-24030,-1410028] 4 [-746:1293:8] 71825h3 [1,-1,1,-2905,-3818278] 2 [959:29095:1] 71825h4 [1,-1,1,-383155,-91191278] 2 [-102656202:50156165:287496]
71825i (1 curve)	1	5+ 13+ 17+	2  3 5+ -2 -2 13+ 17+ -4
Curve Equation t Generators 71825i1 [0,0,1,-39715,-2996159] 1 [-159498612:62912285:1259712]
71825j (1 curve)	1	5+ 13+ 17+	-2  1 5+ -2  4 13+ 17+  6
Curve Equation t Generators 71825j1 [0,1,1,-880208,177894994] 1 [212:929:1]
71825k (1 curve)	0	5+ 13+ 17-	0  1 5+ -2 -2 13+ 17- -2
Curve Equation t 71825k1 [0,1,1,-140833,1923744] 1
71825l (1 curve)	2	5+ 13+ 17-	0 -3 5+  0  0 13+ 17-  6
Curve Equation t Generators 71825l1 [0,0,1,-6760,211461] 1 [-702:2869:8]&[39:84:1]
71825m (1 curve)	2	5- 13+ 17+	0 -1 5-  2 -2 13+ 17+ -2
Curve Equation t Generators 71825m1 [0,-1,1,-5633,17643] 1 [-43:422:1]&[-13:297:1]
71825n (1 curve)	0	5- 13+ 17+	0  3 5-  0  0 13+ 17+  6
Curve Equation t 71825n1 [0,0,1,-169000,26432656] 1
71825o (1 curve)	1	5- 13+ 17-	1  0 5- -1  4 13+ 17-  8
Curve Equation t Generators 71825o1 [1,-1,0,223133,21699666] 1 [2066143696080527750092650:90724686337037472243094548:10911836303238598890625]
71825p (1 curve)	1	5- 13+ 17-	-1  0 5-  1 -4 13+ 17- -8
Curve Equation t Generators 71825p1 [1,-1,1,1320,9572] 1 [-6:40:1]
71825q (1 curve)	1	5- 13+ 17-	-1 -1 5- -1  4 13+ 17-  6
Curve Equation t Generators 71825q1 [1,1,1,-12763,612906] 1 [204:2457:1]
71825r (1 curve)	1	5- 13+ 17-	2 -1 5-  2  4 13+ 17-  6
Curve Equation t Generators 71825r1 [0,-1,1,-35208,1437243] 1 [3114:54583:8]
71825s (1 curve)	1	5- 13+ 17-	-2 -3 5-  2 -2 13+ 17- -4
Curve Equation t Generators 71825s1 [0,0,1,-992875,-374519844] 1 [-624:1436:1]

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

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