Properties

Label 379050.bc
Number of curves $1$
Conductor $379050$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("bc1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 379050.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
379050.bc1 379050bc1 \([1, 1, 0, -1358835775, -19200323331875]\) \(1045624609074291409/5003023725000\) \(1327643262955564808203125000\) \([]\) \(275788800\) \(4.0534\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 379050.bc1 has rank \(2\).

Complex multiplication

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

Modular form 379050.2.a.bc

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} + q^{7} - q^{8} + q^{9} - 5q^{11} - q^{12} - 4q^{13} - q^{14} + q^{16} - 4q^{17} - q^{18} + O(q^{20})\)  Toggle raw display