Properties

Label 327990.bj
Number of curves $1$
Conductor $327990$
CM no
Rank $1$

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

Elliptic curves in class 327990.bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
327990.bj1 327990bj1 \([1, 0, 0, -66036, -10623384]\) \(-53540005609/50895000\) \(-30273532922295000\) \([]\) \(3386880\) \(1.8587\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 327990.bj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 327990.bj do not have complex multiplication.

Modular form 327990.2.a.bj

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} - 2q^{7} + q^{8} + q^{9} - q^{10} + 3q^{11} + q^{12} - q^{13} - 2q^{14} - q^{15} + q^{16} + 7q^{17} + q^{18} + 2q^{19} + O(q^{20})\)  Toggle raw display