Properties

Label 229320cm
Number of curves $1$
Conductor $229320$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("cm1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 229320cm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
229320.w1 229320cm1 \([0, 0, 0, 28812, -1949612]\) \(1354752/1625\) \(-3172761996768000\) \([]\) \(919296\) \(1.6607\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 229320cm1 has rank \(0\).

Complex multiplication

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

Modular form 229320.2.a.cm

sage: E.q_eigenform(10)
 
\(q - q^{5} - 3q^{11} + q^{13} - 2q^{17} + 4q^{19} + O(q^{20})\)  Toggle raw display