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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 84150x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84150.h1 | 84150x1 | \([1, -1, 0, -867, 22541]\) | \(-6838155/16456\) | \(-173559375000\) | \([]\) | \(97920\) | \(0.84478\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84150x1 has rank \(2\).
Complex multiplication
The elliptic curves in class 84150x do not have complex multiplication.Modular form 84150.2.a.x
sage: E.q_eigenform(10)