Properties

Label 193200hi
Number of curves $1$
Conductor $193200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("hi1")
 
E.isogeny_class()
 

Elliptic curves in class 193200hi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
193200.s1 193200hi1 \([0, -1, 0, -97193, -11656683]\) \(-15865478279879680/41425036443\) \(-265120233235200\) \([]\) \(903168\) \(1.6432\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 193200hi1 has rank \(1\).

Complex multiplication

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

Modular form 193200.2.a.hi

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} - 6 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display