Properties

Label 39200r
Number of curves $1$
Conductor $39200$
CM no
Rank $0$

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

Elliptic curves in class 39200r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
39200.dc1 39200r1 \([0, 0, 0, 9800, 686000]\) \(13824/35\) \(-263533760000000\) \([]\) \(221184\) \(1.4509\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 39200r1 has rank \(0\).

Complex multiplication

The elliptic curves in class 39200r do not have complex multiplication.

Modular form 39200.2.a.r

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + 6 q^{9} + 3 q^{11} + q^{13} - q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display