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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 53900be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
53900.bb1 | 53900be1 | \([0, 1, 0, 292, 29588]\) | \(80/11\) | \(-377300000000\) | \([]\) | \(57600\) | \(0.90069\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 53900be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 53900be do not have complex multiplication.Modular form 53900.2.a.be
sage: E.q_eigenform(10)