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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 38646y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38646.y1 | 38646y1 | \([1, -1, 1, -1085, 14469]\) | \(-193602111625/7420032\) | \(-5409203328\) | \([]\) | \(51072\) | \(0.63731\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38646y1 has rank \(2\).
Complex multiplication
The elliptic curves in class 38646y do not have complex multiplication.Modular form 38646.2.a.y
sage: E.q_eigenform(10)