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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 13872bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13872.z1 | 13872bp1 | \([0, 1, 0, 11464, 5021268]\) | \(5831/384\) | \(-10971917751681024\) | \([]\) | \(102816\) | \(1.7574\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13872bp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 13872bp do not have complex multiplication.Modular form 13872.2.a.bp
sage: E.q_eigenform(10)