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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 393008bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
393008.bo1 | 393008bo1 | \([0, 1, 0, -78085, 10949299]\) | \(-495616/203\) | \(-21566657306636288\) | \([]\) | \(3463680\) | \(1.8425\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 393008bo1 has rank \(2\).
Complex multiplication
The elliptic curves in class 393008bo do not have complex multiplication.Modular form 393008.2.a.bo
sage: E.q_eigenform(10)