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SageMath
E = EllipticCurve("el1")
E.isogeny_class()
Elliptic curves in class 289800el
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
289800.el1 | 289800el1 | \([0, 0, 0, -31260, -5296300]\) | \(-144814859264/435654247\) | \(-10162942274016000\) | \([]\) | \(1559040\) | \(1.7582\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 289800el1 has rank \(1\).
Complex multiplication
The elliptic curves in class 289800el do not have complex multiplication.Modular form 289800.2.a.el
sage: E.q_eigenform(10)