Properties

Label 331200.kl
Number of curves $1$
Conductor $331200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("kl1")
 
E.isogeny_class()
 

Elliptic curves in class 331200.kl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
331200.kl1 331200kl1 \([0, 0, 0, 5550, -40050250]\) \(25934336/950546875\) \(-692948671875000000\) \([]\) \(2322432\) \(2.1022\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 331200.kl1 has rank \(1\).

Complex multiplication

The elliptic curves in class 331200.kl do not have complex multiplication.

Modular form 331200.2.a.kl

sage: E.q_eigenform(10)
 
\(q + q^{7} - 2 q^{11} - q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display