Properties

Label 69360.cb
Number of curves $1$
Conductor $69360$
CM no
Rank $0$

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

Elliptic curves in class 69360.cb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
69360.cb1 69360be1 \([0, 1, 0, -820856, -406872225]\) \(-158384129218816/93270234375\) \(-36021067485963750000\) \([]\) \(1935360\) \(2.4551\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 69360.cb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 69360.cb do not have complex multiplication.

Modular form 69360.2.a.cb

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - 3 q^{7} + q^{9} - q^{11} - 6 q^{13} - q^{15} + q^{19} + O(q^{20})\) Copy content Toggle raw display