Properties

Label 47040.m
Number of curves $1$
Conductor $47040$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 47040.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
47040.m1 47040dw1 \([0, -1, 0, 3659, -635795]\) \(57344/1875\) \(-177094686720000\) \([]\) \(129024\) \(1.4140\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 47040.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 47040.m do not have complex multiplication.

Modular form 47040.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} - 2 q^{11} - q^{13} + q^{15} - 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display