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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 100800.bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100800.bp1 | 100800du1 | \([0, 0, 0, -1020, -13480]\) | \(-6288640/567\) | \(-10581580800\) | \([]\) | \(49152\) | \(0.66672\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100800.bp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 100800.bp do not have complex multiplication.Modular form 100800.2.a.bp
sage: E.q_eigenform(10)