Properties

Label 450072j
Number of curves $1$
Conductor $450072$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 450072j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450072.j1 450072j1 \([0, 0, 0, -318, 2221]\) \(-304900096/6251\) \(-72911664\) \([]\) \(115200\) \(0.30035\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450072j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 450072j do not have complex multiplication.

Modular form 450072.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{7} + 2 q^{11} + 4 q^{13} + 6 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display