Properties

Label 3248.m
Number of curves $1$
Conductor $3248$
CM no
Rank $1$

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

Elliptic curves in class 3248.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3248.m1 3248j1 \([0, 1, 0, 0, 116]\) \(-1/1421\) \(-5820416\) \([]\) \(512\) \(-0.023043\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3248.m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3248.m do not have complex multiplication.

Modular form 3248.2.a.m

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