Properties

Label 229320.cl
Number of curves $1$
Conductor $229320$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cl1")
 
E.isogeny_class()
 

Elliptic curves in class 229320.cl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
229320.cl1 229320eh1 \([0, 0, 0, -475960863, -3996913155662]\) \(-11083722100790228176/582924346875\) \(-627139287892079071200000\) \([]\) \(49996800\) \(3.6346\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 229320.cl1 has rank \(1\).

Complex multiplication

The elliptic curves in class 229320.cl do not have complex multiplication.

Modular form 229320.2.a.cl

sage: E.q_eigenform(10)
 
\(q - q^{5} + 5 q^{11} + q^{13} - 3 q^{17} + O(q^{20})\) Copy content Toggle raw display