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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 91035.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
91035.y1 | 91035bw1 | \([1, -1, 1, 227533, 27471116]\) | \(256176791/212625\) | \(-1081267690475723625\) | \([]\) | \(1468800\) | \(2.1481\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 91035.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 91035.y do not have complex multiplication.Modular form 91035.2.a.y
sage: E.q_eigenform(10)