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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 468270.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
468270.x1 | 468270x1 | \([1, -1, 0, -62640, 4078080]\) | \(173945761/55040\) | \(8600970038664960\) | \([]\) | \(3244032\) | \(1.7615\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 468270.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 468270.x do not have complex multiplication.Modular form 468270.2.a.x
sage: E.q_eigenform(10)