Properties

Label 6552.m
Number of curves $1$
Conductor $6552$
CM no
Rank $0$

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

Elliptic curves in class 6552.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6552.m1 6552u1 \([0, 0, 0, -75, 614]\) \(-31250/91\) \(-135862272\) \([]\) \(1440\) \(0.24757\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6552.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 6552.m do not have complex multiplication.

Modular form 6552.2.a.m

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