Properties

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

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 450840.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450840.v1 450840v1 \([0, -1, 0, -5773160, -11095074900]\) \(-430468214044178/827032912875\) \(-40883331071572584192000\) \([]\) \(43794432\) \(3.0285\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450840.v1 has rank \(0\).

Complex multiplication

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

Modular form 450840.2.a.v

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