Properties

Label 53040.g
Number of curves $1$
Conductor $53040$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 53040.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
53040.g1 53040c1 \([0, -1, 0, -19976, 2265360]\) \(-430468214044178/827032912875\) \(-1693763405568000\) \([]\) \(304128\) \(1.6118\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 53040.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 53040.g do not have complex multiplication.

Modular form 53040.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{7} + q^{9} + 5 q^{11} - q^{13} + q^{15} + q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display