Properties

Label 13200.e
Number of curves $1$
Conductor $13200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 13200.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13200.e1 13200p1 \([0, -1, 0, -19222208, -32480747088]\) \(-1963692857508260740/3452093881137\) \(-1380837552454800000000\) \([]\) \(739200\) \(2.9498\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13200.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 13200.e do not have complex multiplication.

Modular form 13200.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} + q^{11} + 4 q^{13} - q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display