Properties

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

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Show commands: SageMath
E = EllipticCurve("cl1")
 
E.isogeny_class()
 

Elliptic curves in class 193200.cl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
193200.cl1 193200dw1 \([0, -1, 0, -246008, 47206512]\) \(-25727239787761/101406816\) \(-6490036224000000\) \([]\) \(1209600\) \(1.8916\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 193200.cl1 has rank \(0\).

Complex multiplication

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

Modular form 193200.2.a.cl

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} + q^{9} + q^{13} - 4 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display