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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 34928f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
34928.c1 | 34928f1 | \([0, 0, 0, -1, -9]\) | \(-6912/2183\) | \(-34928\) | \([]\) | \(1824\) | \(-0.44906\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 34928f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 34928f do not have complex multiplication.Modular form 34928.2.a.f
sage: E.q_eigenform(10)