Properties

Label 377520.gg
Number of curves $1$
Conductor $377520$
CM no
Rank $0$

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

Elliptic curves in class 377520.gg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
377520.gg1 377520gg1 \([0, 1, 0, -4880, 9792660]\) \(-121/390\) \(-41433479554621440\) \([]\) \(3548160\) \(1.8675\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 377520.gg1 has rank \(0\).

Complex multiplication

The elliptic curves in class 377520.gg do not have complex multiplication.

Modular form 377520.2.a.gg

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - 3q^{7} + q^{9} + q^{13} + q^{15} - 3q^{17} + 4q^{19} + O(q^{20})\)  Toggle raw display