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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 319390.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
319390.y1 | 319390y1 | \([1, -1, 1, -80163, 9348067]\) | \(-11993263569/972800\) | \(-4620901405644800\) | \([]\) | \(6082560\) | \(1.7520\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 319390.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 319390.y do not have complex multiplication.Modular form 319390.2.a.y
sage: E.q_eigenform(10)