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SageMath
E = EllipticCurve("bw1")
E.isogeny_class()
Elliptic curves in class 212415.bw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
212415.bw1 | 212415cp1 | \([1, 1, 0, -28159443, 57503693178]\) | \(-72628961394279272329/24608375505\) | \(-836698572468658305\) | \([]\) | \(9642240\) | \(2.7961\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 212415.bw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 212415.bw do not have complex multiplication.Modular form 212415.2.a.bw
sage: E.q_eigenform(10)