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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 6080.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6080.w1 | 6080o1 | \([0, 0, 0, -268, -7408]\) | \(-16241202/171475\) | \(-22475571200\) | \([]\) | \(7680\) | \(0.66843\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6080.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6080.w do not have complex multiplication.Modular form 6080.2.a.w
sage: E.q_eigenform(10)