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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 335730bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
335730.bo1 | 335730bo1 | \([1, 0, 1, -8321419, -9288148258]\) | \(-1354547383894636849/8173828125000\) | \(-384544945283203125000\) | \([]\) | \(31590000\) | \(2.7894\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 335730bo1 has rank \(0\).
Complex multiplication
The elliptic curves in class 335730bo do not have complex multiplication.Modular form 335730.2.a.bo
sage: E.q_eigenform(10)