Show commands:
SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 117600.bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
117600.bo1 | 117600ey1 | \([0, -1, 0, -32013, -12289563]\) | \(-125440/2187\) | \(-63259993043251200\) | \([]\) | \(846720\) | \(1.9050\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 117600.bo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 117600.bo do not have complex multiplication.Modular form 117600.2.a.bo
sage: E.q_eigenform(10)