Properties

Label 129285.m
Number of curves $1$
Conductor $129285$
CM no
Rank $0$

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

Elliptic curves in class 129285.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
129285.m1 129285o1 \([0, 0, 1, -990678, -612419792]\) \(-30558612127744/28361896875\) \(-99798247679031646875\) \([]\) \(2419200\) \(2.5340\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 129285.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 129285.m do not have complex multiplication.

Modular form 129285.2.a.m

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