Properties

Label 6048.m
Number of curves $1$
Conductor $6048$
CM no
Rank $0$

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

Elliptic curves in class 6048.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6048.m1 6048v1 \([0, 0, 0, -675, 6858]\) \(-375000/7\) \(-634894848\) \([]\) \(2016\) \(0.48415\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6048.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 6048.m do not have complex multiplication.

Modular form 6048.2.a.m

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