Properties

Label 193200cc
Number of curves $1$
Conductor $193200$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("cc1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 193200cc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
193200.dz1 193200cc1 \([0, 1, 0, 3638392, -1791379212]\) \(83228502970940543/69854999176704\) \(-4470719947309056000000\) \([]\) \(10264320\) \(2.8420\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 193200cc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 193200cc do not have complex multiplication.

Modular form 193200.2.a.cc

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{7} + q^{9} - 4q^{11} + 3q^{13} + 4q^{17} + O(q^{20})\)  Toggle raw display