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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 43350y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43350.s1 | 43350y1 | \([1, 1, 0, -289150, -58921100]\) | \(613231225/12288\) | \(53573817146880000\) | \([]\) | \(616896\) | \(2.0014\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43350y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 43350y do not have complex multiplication.Modular form 43350.2.a.y
sage: E.q_eigenform(10)