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SageMath
E = EllipticCurve("ny1")
E.isogeny_class()
Elliptic curves in class 418950.ny
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
418950.ny1 | 418950ny1 | \([1, -1, 1, -90765661055, -24420330578046553]\) | \(-98735339854432038328225/250451215107692352768\) | \(-209767863471907913655029032500000000\) | \([]\) | \(4025548800\) | \(5.4654\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 418950.ny1 has rank \(1\).
Complex multiplication
The elliptic curves in class 418950.ny do not have complex multiplication.Modular form 418950.2.a.ny
sage: E.q_eigenform(10)