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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 300042.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
300042.b1 | 300042b1 | \([1, -1, 0, -105, 439]\) | \(4767078987/33338\) | \(900126\) | \([]\) | \(43520\) | \(-0.024434\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 300042.b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 300042.b do not have complex multiplication.Modular form 300042.2.a.b
sage: E.q_eigenform(10)