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SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 84150bx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84150.p1 | 84150bx1 | \([1, -1, 0, -16685377542, -829632396423884]\) | \(-45100802713464654722769650329/4293192974400000000000\) | \(-48902151224025000000000000000\) | \([]\) | \(129254400\) | \(4.5418\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84150bx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 84150bx do not have complex multiplication.Modular form 84150.2.a.bx
sage: E.q_eigenform(10)