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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 6080l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6080.g1 | 6080l1 | \([0, -1, 0, -161, 865]\) | \(-14172488/475\) | \(-15564800\) | \([]\) | \(1280\) | \(0.15427\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6080l1 has rank \(2\).
Complex multiplication
The elliptic curves in class 6080l do not have complex multiplication.Modular form 6080.2.a.l
sage: E.q_eigenform(10)