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Properties

Label 453882cd
Number of curves $1$
Conductor $453882$
CM no
Rank $1$

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

Rank

Copy content sage:E.rank()
 

The elliptic curve 453882cd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 453882cd do not have complex multiplication.

Modular form 453882.2.a.cd

Copy content sage:E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} + 3 q^{7} + q^{8} + q^{9} + q^{10} - q^{11} - q^{12} - q^{13} + 3 q^{14} - q^{15} + q^{16} + 4 q^{17} + q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 453882cd

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
453882.cd1 453882cd1 \([1, 1, 1, -24345, -1547481]\) \(-10779215329/658944\) \(-97547360841216\) \([]\) \(1821600\) \(1.4390\) \(\Gamma_0(N)\)-optimal