Properties

Label 338130g
Number of curves $1$
Conductor $338130$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("g1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 338130g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
338130.g1 338130g1 [1, -1, 0, -698865345, 7111300882621] [] 82252800 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338130g1 has rank \(1\).

Complex multiplication

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

Modular form 338130.2.a.g

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