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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 6080i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6080.r1 | 6080i1 | \([0, 1, 0, 95, 703]\) | \(357911/950\) | \(-249036800\) | \([]\) | \(1536\) | \(0.29476\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6080i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6080i do not have complex multiplication.Modular form 6080.2.a.i
sage: E.q_eigenform(10)