Properties

Label 462462gg
Number of curves $1$
Conductor $462462$
CM no
Rank $0$

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

Elliptic curves in class 462462gg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
462462.gg1 462462gg1 \([1, 1, 1, -44591, -4183915]\) \(-47045881/8736\) \(-1820777912457504\) \([]\) \(2592000\) \(1.6526\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 462462gg1 has rank \(0\).

Complex multiplication

The elliptic curves in class 462462gg do not have complex multiplication.

Modular form 462462.2.a.gg

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} + q^{8} + q^{9} - q^{10} - q^{12} - q^{13} + q^{15} + q^{16} + 5 q^{17} + q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display