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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 468270.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
468270.y1 | 468270y1 | \([1, -1, 0, 137010, 279379700]\) | \(986998959837/117606754400\) | \(-33891773707706983200\) | \([]\) | \(14515200\) | \(2.4268\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 468270.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 468270.y do not have complex multiplication.Modular form 468270.2.a.y
sage: E.q_eigenform(10)