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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 116610l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116610.s1 | 116610l1 | \([1, 1, 0, 213613, -27183411]\) | \(7819339151/6855840\) | \(-945135762758048160\) | \([]\) | \(1797120\) | \(2.1367\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116610l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 116610l do not have complex multiplication.Modular form 116610.2.a.l
sage: E.q_eigenform(10)