Properties

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

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Show commands: SageMath
E = EllipticCurve("en1")
 
E.isogeny_class()
 

Elliptic curves in class 39600.en

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
39600.en1 39600bf1 \([0, 0, 0, -27721875, -58068418750]\) \(-323194518662500/12784876137\) \(-93201747038730000000000\) \([]\) \(3793920\) \(3.1761\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 39600.en1 has rank \(1\).

Complex multiplication

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

Modular form 39600.2.a.en

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