Properties

Label 338130.l
Number of curves $1$
Conductor $338130$
CM no
Rank $1$

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

Elliptic curves in class 338130.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338130.l1 338130l1 \([1, -1, 0, -26545860, -52649932284]\) \(-406813373046721/118462500\) \(-602420570407903162500\) \([]\) \(25850880\) \(2.9668\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338130.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 338130.l do not have complex multiplication.

Modular form 338130.2.a.l

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