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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 92736bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92736.y1 | 92736bf1 | \([0, 0, 0, 204, 9704]\) | \(1257728/55223\) | \(-41223748608\) | \([]\) | \(46080\) | \(0.71665\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92736bf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 92736bf do not have complex multiplication.Modular form 92736.2.a.bf
sage: E.q_eigenform(10)