Properties

Label 259920.m
Number of curves $1$
Conductor $259920$
CM no
Rank $2$

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

Elliptic curves in class 259920.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
259920.m1 259920m1 \([0, 0, 0, 57, 342]\) \(8208/25\) \(-62380800\) \([]\) \(64512\) \(0.17904\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 259920.m1 has rank \(2\).

Complex multiplication

The elliptic curves in class 259920.m do not have complex multiplication.

Modular form 259920.2.a.m

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