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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 41616.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
41616.y1 | 41616b1 | \([0, 0, 0, 31212, 530604]\) | \(27648/17\) | \(-2067634201768704\) | \([]\) | \(110592\) | \(1.6279\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 41616.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 41616.y do not have complex multiplication.Modular form 41616.2.a.y
sage: E.q_eigenform(10)