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SageMath
E = EllipticCurve("fc1")
E.isogeny_class()
Elliptic curves in class 227430fc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
227430.h1 | 227430fc1 | \([1, -1, 0, -495, 9261]\) | \(-51026761/107520\) | \(-28295930880\) | \([]\) | \(161280\) | \(0.69453\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227430fc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 227430fc do not have complex multiplication.Modular form 227430.2.a.fc
sage: E.q_eigenform(10)