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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 75150bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75150.bq1 | 75150bu1 | \([1, -1, 1, -697055, -223831303]\) | \(-26306719916021/730458\) | \(-1040046644531250\) | \([]\) | \(806400\) | \(1.9843\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75150bu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 75150bu do not have complex multiplication.Modular form 75150.2.a.bu
sage: E.q_eigenform(10)