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SageMath
E = EllipticCurve("bw1")
E.isogeny_class()
Elliptic curves in class 202300.bw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
202300.bw1 | 202300by1 | \([0, 0, 0, 231200, 130194500]\) | \(14155776/84035\) | \(-8113602443660000000\) | \([]\) | \(7441920\) | \(2.3103\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 202300.bw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 202300.bw do not have complex multiplication.Modular form 202300.2.a.bw
sage: E.q_eigenform(10)