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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 173400.bo
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 173400.bo1 | 173400ce1 | \([0, -1, 0, -24083, -3252588]\) | \(-73984000/177147\) | \(-3698873646750000\) | \([]\) | \(1140480\) | \(1.6754\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 173400.bo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 173400.bo do not have complex multiplication.Modular form 173400.2.a.bo
sage: E.q_eigenform(10)