Properties

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

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 279174r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
279174.r1 279174r1 \([1, 1, 0, 167759, 19298773]\) \(4402880119/3894912\) \(-461889343222683264\) \([]\) \(4569600\) \(2.0770\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 279174r1 has rank \(0\).

Complex multiplication

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

Modular form 279174.2.a.r

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