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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 60840p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
60840.b1 | 60840p1 | \([0, 0, 0, -85683, -9625057]\) | \(7311616/25\) | \(237867078243600\) | \([]\) | \(299520\) | \(1.6221\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 60840p1 has rank \(2\).
Complex multiplication
The elliptic curves in class 60840p do not have complex multiplication.Modular form 60840.2.a.p
sage: E.q_eigenform(10)