Properties

Label 244881l
Number of curves $1$
Conductor $244881$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 244881l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
244881.l1 244881l1 \([0, 0, 1, -2328651, 1916700698]\) \(-396870925750272/221358574619\) \(-778904103384459202059\) \([]\) \(17498880\) \(2.7120\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 244881l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 244881l do not have complex multiplication.

Modular form 244881.2.a.l

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} + 3 q^{5} + q^{7} - 6 q^{10} + 3 q^{11} - 2 q^{14} - 4 q^{16} - 4 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display