Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("bj1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 379050.bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
379050.bj1 379050bj1 \([1, 1, 0, -76717200, 10634897424000]\) \(-15845994475/15495785088\) \(-48831047024657020698750000000\) \([]\) \(390700800\) \(4.1839\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 379050.bj1 has rank \(0\).

Complex multiplication

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

Modular form 379050.2.a.bj

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