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SageMath
E = EllipticCurve("bw1")
E.isogeny_class()
Elliptic curves in class 81200bw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
81200.bb1 | 81200bw1 | \([0, -1, 0, -8, 14512]\) | \(-1/1421\) | \(-90944000000\) | \([]\) | \(71680\) | \(0.78168\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 81200bw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 81200bw do not have complex multiplication.Modular form 81200.2.a.bw
sage: E.q_eigenform(10)