Properties

Label 450840.cl
Number of curves $1$
Conductor $450840$
CM no
Rank $0$

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

Elliptic curves in class 450840.cl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450840.cl1 450840cl1 \([0, 1, 0, -420880, 106327328]\) \(-577136162/8775\) \(-125362732123699200\) \([]\) \(8284032\) \(2.0836\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450840.cl1 has rank \(0\).

Complex multiplication

The elliptic curves in class 450840.cl do not have complex multiplication.

Modular form 450840.2.a.cl

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