Properties

Label 114264.l
Number of curves $1$
Conductor $114264$
CM no
Rank $1$

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

Elliptic curves in class 114264.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
114264.l1 114264v1 \([0, 0, 0, 69, -506]\) \(276\) \(-131632128\) \([]\) \(26496\) \(0.24086\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 114264.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 114264.l do not have complex multiplication.

Modular form 114264.2.a.l

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