Properties

Label 92400.cb
Number of curves $1$
Conductor $92400$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 92400.cb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92400.cb1 92400ea1 \([0, -1, 0, -52533, -14962563]\) \(-250523582464/1369738755\) \(-87663280320000000\) \([]\) \(691200\) \(1.9351\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92400.cb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 92400.cb do not have complex multiplication.

Modular form 92400.2.a.cb

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} + q^{9} - q^{11} - 3q^{17} + 3q^{19} + O(q^{20})\)  Toggle raw display