Properties

Label 38808cb
Number of curves $1$
Conductor $38808$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("cb1")
 
E.isogeny_class()
 

Elliptic curves in class 38808cb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38808.z1 38808cb1 \([0, 0, 0, -588, 1820644]\) \(-1024/65219\) \(-1431956645247744\) \([]\) \(138240\) \(1.5870\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38808cb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 38808cb do not have complex multiplication.

Modular form 38808.2.a.cb

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{11} - 2 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display