Properties

Label 379050.eb
Number of curves $1$
Conductor $379050$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("eb1")
 
E.isogeny_class()
 

Elliptic curves in class 379050.eb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
379050.eb1 379050eb1 \([1, 0, 1, -8710216, 9891773078]\) \(34424813393549/7838208\) \(16640087462058816000\) \([]\) \(19305216\) \(2.6801\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 379050.eb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 379050.eb do not have complex multiplication.

Modular form 379050.2.a.eb

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} + q^{7} - q^{8} + q^{9} - 3 q^{11} + q^{12} - 4 q^{13} - q^{14} + q^{16} - 2 q^{17} - q^{18} + O(q^{20})\) Copy content Toggle raw display