Properties

Label 338130.g
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 338130.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338130.g1 338130g1 \([1, -1, 0, -698865345, 7111300882621]\) \(-7423100311456129681/239616000\) \(-1218525756242356224000\) \([]\) \(82252800\) \(3.5478\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

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

Modular form 338130.2.a.g

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