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SageMath
E = EllipticCurve("fu1")
E.isogeny_class()
Elliptic curves in class 52800fu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
52800.r1 | 52800fu1 | \([0, -1, 0, -833, -530463]\) | \(-625/1188\) | \(-121651200000000\) | \([]\) | \(138240\) | \(1.3817\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 52800fu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 52800fu do not have complex multiplication.Modular form 52800.2.a.fu
sage: E.q_eigenform(10)