Properties

Label 103488.m
Number of curves $1$
Conductor $103488$
CM no
Rank $0$

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

Elliptic curves in class 103488.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
103488.m1 103488j1 \([0, -1, 0, -15270817, 23816882209]\) \(-260607143968297/11270993184\) \(-17032814992586541367296\) \([]\) \(11289600\) \(3.0315\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 103488.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 103488.m do not have complex multiplication.

Modular form 103488.2.a.m

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