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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 17325f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17325.f1 | 17325f1 | \([0, 0, 1, -45, -294]\) | \(-2985984/9317\) | \(-31444875\) | \([]\) | \(6144\) | \(0.12523\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17325f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 17325f do not have complex multiplication.Modular form 17325.2.a.f
sage: E.q_eigenform(10)