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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 91035x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
91035.n1 | 91035x1 | \([1, -1, 1, -5172143, 4528746416]\) | \(-72628961394279272329/24608375505\) | \(-5184517159768905\) | \([]\) | \(1607040\) | \(2.3725\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 91035x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 91035x do not have complex multiplication.Modular form 91035.2.a.x
sage: E.q_eigenform(10)