Properties

Label 9200.c
Number of curves $1$
Conductor $9200$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 9200.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9200.c1 9200k1 \([0, 0, 0, -4675, -123875]\) \(-45198971136/359375\) \(-89843750000\) \([]\) \(13824\) \(0.92999\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9200.c1 has rank \(0\).

Complex multiplication

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

Modular form 9200.2.a.c

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - 2 q^{7} + 6 q^{9} - q^{13} + O(q^{20})\) Copy content Toggle raw display