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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 2664.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2664.f1 | 2664f1 | \([0, 0, 0, -84, -268]\) | \(351232/37\) | \(6905088\) | \([]\) | \(480\) | \(0.047066\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2664.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2664.f do not have complex multiplication.Modular form 2664.2.a.f
sage: E.q_eigenform(10)