Properties

Label 47096.m
Number of curves $1$
Conductor $47096$
CM no
Rank $0$

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

Elliptic curves in class 47096.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
47096.m1 47096m1 \([0, 0, 0, 24389, -41022298]\) \(108/49\) \(-727910556485202944\) \([]\) \(1195264\) \(2.1065\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 47096.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 47096.m do not have complex multiplication.

Modular form 47096.2.a.m

sage: E.q_eigenform(10)
 
\(q + 3q^{3} + 3q^{5} + q^{7} + 6q^{9} + 3q^{11} + 5q^{13} + 9q^{15} - 2q^{17} + 4q^{19} + O(q^{20})\)  Toggle raw display