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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 5520.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5520.be1 | 5520i1 | \([0, 1, 0, 15, -117]\) | \(1362944/25875\) | \(-6624000\) | \([]\) | \(768\) | \(-0.010740\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5520.be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5520.be do not have complex multiplication.Modular form 5520.2.a.be
sage: E.q_eigenform(10)