Properties

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

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Show commands: SageMath
E = EllipticCurve("bi1")
 
E.isogeny_class()
 

Elliptic curves in class 279174bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
279174.bi1 279174bi1 \([1, 0, 1, -181065, 29742844]\) \(-94109273353/378672\) \(-2641524021698352\) \([]\) \(2026944\) \(1.8158\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 279174bi1 has rank \(1\).

Complex multiplication

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

Modular form 279174.2.a.bi

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + 2 q^{5} - q^{6} - q^{7} - q^{8} + q^{9} - 2 q^{10} + q^{11} + q^{12} + 2 q^{13} + q^{14} + 2 q^{15} + q^{16} - q^{18} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display