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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 276903.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
276903.f1 | 276903f1 | \([0, 0, 1, -279, -1627]\) | \(3294646272/338437\) | \(246720573\) | \([]\) | \(190848\) | \(0.34584\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 276903.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 276903.f do not have complex multiplication.Modular form 276903.2.a.f
sage: E.q_eigenform(10)