Properties

Label 9200.u
Number of curves $1$
Conductor $9200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 9200.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9200.u1 9200y1 \([0, 0, 0, -35, -30]\) \(46305/23\) \(2355200\) \([]\) \(768\) \(-0.084349\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9200.u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 9200.u do not have complex multiplication.

Modular form 9200.2.a.u

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