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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 95106y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
95106.y1 | 95106y1 | \([1, 0, 0, -1999, -76867]\) | \(-498677257/1145988\) | \(-2030187647268\) | \([]\) | \(226800\) | \(1.0500\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 95106y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 95106y do not have complex multiplication.Modular form 95106.2.a.y
sage: E.q_eigenform(10)