Properties

Label 379050b
Number of curves $1$
Conductor $379050$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 379050b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
379050.b1 379050b1 \([1, 1, 0, -154325, 21142125]\) \(576500549021/58084992\) \(40954457250000000\) \([]\) \(4838400\) \(1.9237\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 379050b1 has rank \(1\).

Complex multiplication

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

Modular form 379050.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{7} - q^{8} + q^{9} - 5q^{11} - q^{12} + q^{14} + q^{16} + 6q^{17} - q^{18} + O(q^{20})\)  Toggle raw display