Properties

Label 104742.m
Number of curves $1$
Conductor $104742$
CM no
Rank $0$

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

Elliptic curves in class 104742.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
104742.m1 104742u1 \([1, -1, 0, -12050190, 14940898132]\) \(1793126264853169/144450256896\) \(15588806380794872856576\) \([]\) \(7704576\) \(3.0015\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 104742.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 104742.m do not have complex multiplication.

Modular form 104742.2.a.m

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