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SageMath
E = EllipticCurve("fh1")
E.isogeny_class()
Elliptic curves in class 78400fh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
78400.kc1 | 78400fh1 | \([0, -1, 0, 57167, -3131463]\) | \(1280\) | \(-16141442800000000\) | \([]\) | \(430080\) | \(1.7980\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78400fh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 78400fh do not have complex multiplication.Modular form 78400.2.a.fh
sage: E.q_eigenform(10)