Properties

Label 283024.v
Number of curves $1$
Conductor $283024$
CM no
Rank $0$

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

Elliptic curves in class 283024.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
283024.v1 283024v1 \([0, -1, 0, -5896, 163787]\) \(12544\) \(1807314564496\) \([]\) \(344736\) \(1.0953\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 283024.v1 has rank \(0\).

Complex multiplication

The elliptic curves in class 283024.v do not have complex multiplication.

Modular form 283024.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{9} - 3 q^{11} + 6 q^{13} + q^{15} - 5 q^{17} + O(q^{20})\) Copy content Toggle raw display