Properties

Label 453152p
Number of curves $1$
Conductor $453152$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 453152p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
453152.p1 453152p1 \([0, -1, 0, -4720, 173048]\) \(-668168/343\) \(-5971042520576\) \([]\) \(663552\) \(1.1561\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 453152p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 453152p do not have complex multiplication.

Modular form 453152.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 2 q^{9} + 4 q^{11} + q^{13} - q^{15} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display