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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 190575.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190575.i1 | 190575m1 | \([0, 0, 1, -136125, 48872656]\) | \(-2985984/9317\) | \(-870414284373046875\) | \([]\) | \(3686400\) | \(2.1289\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190575.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 190575.i do not have complex multiplication.Modular form 190575.2.a.i
sage: E.q_eigenform(10)