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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 388815.bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388815.bo1 | 388815bo1 | \([0, -1, 1, 756081009, -18005654538439]\) | \(2744564518708084736/9629735831296875\) | \(-167714120722178019191876296875\) | \([]\) | \(237219840\) | \(4.2906\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388815.bo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 388815.bo do not have complex multiplication.Modular form 388815.2.a.bo
sage: E.q_eigenform(10)