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SageMath
E = EllipticCurve("fr1")
E.isogeny_class()
Elliptic curves in class 46800.fr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46800.fr1 | 46800bu1 | \([0, 0, 0, 420, -56500]\) | \(351232/59319\) | \(-1383793632000\) | \([]\) | \(92160\) | \(1.0089\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46800.fr1 has rank \(0\).
Complex multiplication
The elliptic curves in class 46800.fr do not have complex multiplication.Modular form 46800.2.a.fr
sage: E.q_eigenform(10)