Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 453152b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
453152.b1 453152b1 \([0, 0, 0, -516460, -86018912]\) \(109392552000/40353607\) \(5619897452025966592\) \([]\) \(13934592\) \(2.2979\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 453152b1 has rank \(1\).

Complex multiplication

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

Modular form 453152.2.a.b

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + 6 q^{9} + 2 q^{11} + 4 q^{13} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display