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SageMath
E = EllipticCurve("hf1")
E.isogeny_class()
Elliptic curves in class 62400.hf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
62400.hf1 | 62400hi1 | \([0, 1, 0, -273, -2097]\) | \(-5513680/1053\) | \(-431308800\) | \([]\) | \(18432\) | \(0.38069\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62400.hf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 62400.hf do not have complex multiplication.Modular form 62400.2.a.hf
sage: E.q_eigenform(10)