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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 81144.bo
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 81144.bo1 | 81144v1 | \([0, 0, 0, -3712779, 2793738087]\) | \(-4124632486295808/70140333767\) | \(-96250629645454524912\) | \([]\) | \(1806336\) | \(2.6330\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 81144.bo1 has rank \(0\).
Complex multiplication
The elliptic curves in class 81144.bo do not have complex multiplication.Modular form 81144.2.a.bo
sage: E.q_eigenform(10)