Properties

Label 18810.i
Number of curves $1$
Conductor $18810$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 18810.i

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 18810.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 18810.i do not have complex multiplication.

Modular form 18810.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} - q^{7} - q^{8} - q^{10} + q^{11} - 5 q^{13} + q^{14} + q^{16} + 3 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display