Properties

Label 379050.gf
Number of curves $1$
Conductor $379050$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("gf1")
 
E.isogeny_class()
 

Elliptic curves in class 379050.gf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
379050.gf1 379050gf1 \([1, 1, 1, -1516388, -8875480219]\) \(-4196653397/367871616\) \(-33802430214089250000000\) \([]\) \(40320000\) \(3.0025\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 379050.gf1 has rank \(0\).

Complex multiplication

The elliptic curves in class 379050.gf do not have complex multiplication.

Modular form 379050.2.a.gf

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