Properties

Label 364650.gg
Number of curves $1$
Conductor $364650$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("gg1")
 
E.isogeny_class()
 

Elliptic curves in class 364650.gg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
364650.gg1 364650gg1 \([1, 0, 0, -1288, 56192]\) \(-15124197817/78881088\) \(-1232517000000\) \([]\) \(626688\) \(1.0042\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 364650.gg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 364650.gg do not have complex multiplication.

Modular form 364650.2.a.gg

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} + 3 q^{7} + q^{8} + q^{9} + q^{11} + q^{12} - q^{13} + 3 q^{14} + q^{16} + q^{17} + q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display