Properties

Label 39600.p
Number of curves $1$
Conductor $39600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 39600.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
39600.p1 39600bp1 \([0, 0, 0, -172999875, 877153171250]\) \(-1963692857508260740/3452093881137\) \(-1006630575739549200000000\) \([]\) \(5913600\) \(3.4991\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 39600.p1 has rank \(1\).

Complex multiplication

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

Modular form 39600.2.a.p

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} - q^{11} + 4 q^{13} + q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display