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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 416160bo
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 416160.bo1 | 416160bo1 | \([0, 0, 0, 165597, 20860598]\) | \(55742968/53125\) | \(-478619028187200000\) | \([]\) | \(4147200\) | \(2.0796\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 416160bo1 has rank \(0\).
Complex multiplication
The elliptic curves in class 416160bo do not have complex multiplication.Modular form 416160.2.a.bo
sage: E.q_eigenform(10)