Properties

Label 369342.cd
Number of curves $1$
Conductor $369342$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cd1")
 
E.isogeny_class()
 

Elliptic curves in class 369342.cd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
369342.cd1 369342cd1 \([1, -1, 1, -6830714, -6841421639]\) \(2003092024307193/9529458688\) \(167683097661787865088\) \([]\) \(20901888\) \(2.7300\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 369342.cd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 369342.cd do not have complex multiplication.

Modular form 369342.2.a.cd

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 2 q^{5} + 3 q^{7} + q^{8} + 2 q^{10} - 6 q^{11} - 5 q^{13} + 3 q^{14} + q^{16} + q^{19} + O(q^{20})\) Copy content Toggle raw display