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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 6760a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6760.e1 | 6760a1 | \([0, -1, 0, -56, 181]\) | \(7311616/25\) | \(67600\) | \([]\) | \(768\) | \(-0.20972\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6760a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6760a do not have complex multiplication.Modular form 6760.2.a.a
sage: E.q_eigenform(10)