Properties

Label 450800ew
Number of curves $1$
Conductor $450800$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("ew1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 450800ew

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450800.ew1 450800ew1 \([0, 1, 0, -4254833, 8408909963]\) \(-144814859264/435654247\) \(-25627143252651500000000\) \([]\) \(24944640\) \(2.9866\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450800ew1 has rank \(1\).

Complex multiplication

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

Modular form 450800.2.a.ew

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