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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 324928.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
324928.f1 | 324928f1 | \([0, 1, 0, -437, 3347]\) | \(564600832/5077\) | \(83181568\) | \([]\) | \(76800\) | \(0.34246\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 324928.f1 has rank \(2\).
Complex multiplication
The elliptic curves in class 324928.f do not have complex multiplication.Modular form 324928.2.a.f
sage: E.q_eigenform(10)