Properties

Label 39600r
Number of curves $1$
Conductor $39600$
CM no
Rank $0$

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

Elliptic curves in class 39600r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
39600.r1 39600r1 \([0, 0, 0, -7500, -1262500]\) \(-25600/363\) \(-661567500000000\) \([]\) \(168960\) \(1.5253\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 39600r1 has rank \(0\).

Complex multiplication

The elliptic curves in class 39600r do not have complex multiplication.

Modular form 39600.2.a.r

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} - q^{11} + 5 q^{13} + 6 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display