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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 60840bo
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 60840.x1 | 60840bo1 | \([0, 0, 0, -2557308, 1587648868]\) | \(-934577152/9375\) | \(-18553632103000800000\) | \([]\) | \(1797120\) | \(2.5162\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 60840bo1 has rank \(0\).
Complex multiplication
The elliptic curves in class 60840bo do not have complex multiplication.Modular form 60840.2.a.bo
sage: E.q_eigenform(10)