Properties

Label 224336.k
Number of curves $1$
Conductor $224336$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 224336.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
224336.k1 224336f1 \([0, 0, 0, -307, -2830]\) \(-781229961/392588\) \(-1608040448\) \([]\) \(393984\) \(0.47148\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 224336.k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 224336.k do not have complex multiplication.

Modular form 224336.2.a.k

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - 4 q^{5} + q^{7} + 6 q^{9} + 6 q^{11} - 3 q^{13} - 12 q^{15} - 6 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display