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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 44880bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
44880.q1 | 44880bo1 | \([0, -1, 0, -45816, 4604016]\) | \(-2596717791529849/718080000000\) | \(-2941255680000000\) | \([]\) | \(338688\) | \(1.6839\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44880bo1 has rank \(0\).
Complex multiplication
The elliptic curves in class 44880bo do not have complex multiplication.Modular form 44880.2.a.bo
sage: E.q_eigenform(10)