Properties

Label 234416cb
Number of curves $1$
Conductor $234416$
CM no
Rank $0$

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

Elliptic curves in class 234416cb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
234416.cb1 234416cb1 \([0, 0, 0, -1200304, -709307536]\) \(-396870925750272/221358574619\) \(-106670550816156594176\) \([]\) \(14284800\) \(2.5464\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 234416cb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 234416cb do not have complex multiplication.

Modular form 234416.2.a.cb

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - 3 q^{5} + 6 q^{9} - 3 q^{11} + q^{13} - 9 q^{15} - 4 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display