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SageMath
E = EllipticCurve("fc1")
E.isogeny_class()
Elliptic curves in class 444675.fc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
444675.fc1 | 444675fc1 | \([1, 1, 0, 3650, -467375]\) | \(24167/441\) | \(-98091692015625\) | \([]\) | \(1492992\) | \(1.3652\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 444675.fc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 444675.fc do not have complex multiplication.Modular form 444675.2.a.fc
sage: E.q_eigenform(10)