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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 18810l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18810.i1 | 18810l1 | \([1, -1, 0, 3411621, 8152926885]\) | \(6023909647291870865231/42884058745074483200\) | \(-31262478825159298252800\) | \([]\) | \(1370880\) | \(2.9980\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18810l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 18810l do not have complex multiplication.Modular form 18810.2.a.l
sage: E.q_eigenform(10)