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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 422370.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
422370.bb1 | 422370bb1 | \([1, -1, 0, -4962915, 4367609181]\) | \(-57467768779/1755000\) | \(-412845027099963705000\) | \([]\) | \(19261440\) | \(2.7332\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 422370.bb1 has rank \(2\).
Complex multiplication
The elliptic curves in class 422370.bb do not have complex multiplication.Modular form 422370.2.a.bb
sage: E.q_eigenform(10)