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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 352800.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
352800.bb1 | 352800bb1 | \([0, 0, 0, -21000, 2450000]\) | \(-512\) | \(-2000376000000000\) | \([]\) | \(1536000\) | \(1.6256\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 352800.bb1 has rank \(2\).
Complex multiplication
The elliptic curves in class 352800.bb do not have complex multiplication.Modular form 352800.2.a.bb
sage: E.q_eigenform(10)