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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 413712.bo
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 413712.bo1 | 413712bo1 | \([0, 0, 0, -5616, -189540]\) | \(-23003136/4913\) | \(-4183740377856\) | \([]\) | \(725760\) | \(1.1431\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 413712.bo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 413712.bo do not have complex multiplication.Modular form 413712.2.a.bo
sage: E.q_eigenform(10)