Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 193200.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
193200.a1 193200de1 \([0, -1, 0, 2267, -19763]\) \(503091200/352107\) \(-901393920000\) \([]\) \(268800\) \(0.98245\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 193200.a1 has rank \(1\).

Complex multiplication

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

Modular form 193200.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} - 5 q^{11} - 4 q^{13} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display