Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("ba1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 379050ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
379050.ba1 379050ba1 \([1, 1, 0, -6069500, -7156590000]\) \(-93182366881/29393280\) \(-7800040997840070000000\) \([]\) \(47803392\) \(2.9139\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 379050ba1 has rank \(0\).

Complex multiplication

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

Modular form 379050.2.a.ba

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