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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 494064bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
494064.bo1 | 494064bo1 | \([0, 0, 0, -711, 7398]\) | \(-212992848/3431\) | \(-640306944\) | \([]\) | \(394240\) | \(0.49036\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 494064bo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 494064bo do not have complex multiplication.Modular form 494064.2.a.bo
sage: E.q_eigenform(10)