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SageMath
E = EllipticCurve("fh1")
E.isogeny_class()
Elliptic curves in class 248430fh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
248430.fh1 | 248430fh1 | \([1, 0, 1, -24760363, -54555343594]\) | \(-1231272543361/230400000\) | \(-314139818684261606400000\) | \([]\) | \(44815680\) | \(3.2330\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 248430fh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 248430fh do not have complex multiplication.Modular form 248430.2.a.fh
sage: E.q_eigenform(10)