Properties

Label 226941.l
Number of curves $1$
Conductor $226941$
CM no
Rank $1$

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

Elliptic curves in class 226941.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
226941.l1 226941l1 \([0, 1, 1, -20853, 1153082]\) \(-82426462208000/78953589\) \(-960628317363\) \([]\) \(290304\) \(1.2208\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 226941.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 226941.l do not have complex multiplication.

Modular form 226941.2.a.l

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{4} + q^{9} - q^{11} - 2 q^{12} - q^{13} + 4 q^{16} + O(q^{20})\) Copy content Toggle raw display