Properties

Label 229320ca
Number of curves $1$
Conductor $229320$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("ca1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 229320ca

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
229320.u1 229320ca1 \([0, 0, 0, -1674183, 6586139882]\) \(-482370434896/17138671875\) \(-18438643938487500000000\) \([]\) \(12063744\) \(2.9526\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 229320ca1 has rank \(1\).

Complex multiplication

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

Modular form 229320.2.a.ca

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