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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 75712.bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75712.bo1 | 75712br1 | \([0, 0, 0, -45968, 4147936]\) | \(-135834624/15379\) | \(-1216208824090624\) | \([]\) | \(258048\) | \(1.6314\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75712.bo1 has rank \(0\).
Complex multiplication
The elliptic curves in class 75712.bo do not have complex multiplication.Modular form 75712.2.a.bo
sage: E.q_eigenform(10)