Properties

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

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 9200.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9200.r1 9200be1 \([0, 0, 0, -875, -3750]\) \(46305/23\) \(36800000000\) \([]\) \(3840\) \(0.72037\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9200.r1 has rank \(1\).

Complex multiplication

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

Modular form 9200.2.a.r

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