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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 17325i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17325.u1 | 17325i1 | \([0, 0, 1, -29550, -6319719]\) | \(-250523582464/1369738755\) | \(-15602180506171875\) | \([]\) | \(76800\) | \(1.7912\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17325i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 17325i do not have complex multiplication.Modular form 17325.2.a.i
sage: E.q_eigenform(10)