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SageMath
E = EllipticCurve("fn1")
E.isogeny_class()
Elliptic curves in class 139650.fn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139650.fn1 | 139650fb1 | \([1, 1, 1, -65563, -7025719]\) | \(-346016041/34656\) | \(-3121639741500000\) | \([]\) | \(940800\) | \(1.7133\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139650.fn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 139650.fn do not have complex multiplication.Modular form 139650.2.a.fn
sage: E.q_eigenform(10)