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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 179.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
179.a1 | 179a1 | \([0, 0, 1, -1, -1]\) | \(-110592/179\) | \(-179\) | \([]\) | \(9\) | \(-0.87666\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 179.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 179.a do not have complex multiplication.Modular form 179.2.a.a
sage: E.q_eigenform(10)