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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 327990bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
327990.bo1 | 327990bo1 | \([1, 0, 0, -62440, 5974592]\) | \(32012296758508921/157697280000\) | \(132623412480000\) | \([]\) | \(1774080\) | \(1.5576\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 327990bo1 has rank \(2\).
Complex multiplication
The elliptic curves in class 327990bo do not have complex multiplication.Modular form 327990.2.a.bo
sage: E.q_eigenform(10)