Properties

Label 47610.m
Number of curves $1$
Conductor $47610$
CM no
Rank $0$

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

Elliptic curves in class 47610.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
47610.m1 47610c1 \([1, -1, 0, -894144465, -10290825776419]\) \(-70681322281271643/1280000\) \(-1431700227543709440000\) \([]\) \(11658240\) \(3.5976\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 47610.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 47610.m do not have complex multiplication.

Modular form 47610.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + q^{7} - q^{8} + q^{10} - 3 q^{11} + 6 q^{13} - q^{14} + q^{16} + 4 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display