Properties

Label 279174.g
Number of curves $1$
Conductor $279174$
CM no
Rank $0$

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

Elliptic curves in class 279174.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
279174.g1 279174g1 \([1, 1, 0, 935632, -242899656]\) \(3752707016986199/3231049323096\) \(-77989675978632993624\) \([]\) \(8211456\) \(2.5045\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 279174.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 279174.g do not have complex multiplication.

Modular form 279174.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} + q^{7} - q^{8} + q^{9} + q^{10} + 4 q^{11} - q^{12} - q^{13} - q^{14} + q^{15} + q^{16} - q^{18} + O(q^{20})\) Copy content Toggle raw display