Properties

Label 259920g
Number of curves $1$
Conductor $259920$
CM no
Rank $2$

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

Elliptic curves in class 259920g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
259920.g1 259920g1 \([0, 0, 0, -82308, -6776692]\) \(19456/5\) \(15847702344817920\) \([]\) \(1838592\) \(1.8178\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 259920g1 has rank \(2\).

Complex multiplication

The elliptic curves in class 259920g do not have complex multiplication.

Modular form 259920.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{5} - 4 q^{7} + q^{11} - 4 q^{13} - 4 q^{17} + O(q^{20})\) Copy content Toggle raw display