Properties

Label 450800cp
Number of curves $1$
Conductor $450800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cp1")
 
E.isogeny_class()
 

Elliptic curves in class 450800cp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450800.cp1 450800cp1 \([0, -1, 0, -18875208, 76007548912]\) \(-158034076225/438790688\) \(-2064931426100480000000000\) \([]\) \(55296000\) \(3.3528\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450800cp1 has rank \(0\).

Complex multiplication

The elliptic curves in class 450800cp do not have complex multiplication.

Modular form 450800.2.a.cp

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{9} + 5 q^{11} + 2 q^{13} - 5 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display