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SageMath
E = EllipticCurve("fc1")
E.isogeny_class()
Elliptic curves in class 430950fc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
430950.fc1 | 430950fc1 | \([1, 1, 1, -1018313, 411811031]\) | \(-1548415333009/77332320\) | \(-5832317783857500000\) | \([]\) | \(9031680\) | \(2.3619\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 430950fc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 430950fc do not have complex multiplication.Modular form 430950.2.a.fc
sage: E.q_eigenform(10)