Properties

Label 279174l
Number of curves $1$
Conductor $279174$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 279174l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
279174.l1 279174l1 \([1, 1, 0, -9432, 354942]\) \(-321150933428329/6664133574\) \(-1925934602886\) \([]\) \(587520\) \(1.1484\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 279174l1 has rank \(1\).

Complex multiplication

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

Modular form 279174.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} + q^{7} - q^{8} + q^{9} - q^{10} - 3 q^{11} - q^{12} - q^{14} - q^{15} + q^{16} - q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display