Properties

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

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 279174be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
279174.be1 279174be1 \([1, 0, 1, 19501, 885038]\) \(33980740919/33632256\) \(-811800899825664\) \([]\) \(1382400\) \(1.5478\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 279174be1 has rank \(0\).

Complex multiplication

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

Modular form 279174.2.a.be

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