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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 310464.bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
310464.bo1 | 310464bo1 | \([0, 0, 0, -2804844, 1874397616]\) | \(-260607143968297/11270993184\) | \(-105542096656967663616\) | \([]\) | \(12902400\) | \(2.6078\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 310464.bo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 310464.bo do not have complex multiplication.Modular form 310464.2.a.bo
sage: E.q_eigenform(10)