Properties

Label 6672a
Number of curves $1$
Conductor $6672$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 6672a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6672.e1 6672a1 \([0, -1, 0, -48, -144]\) \(-12194500/3753\) \(-3843072\) \([]\) \(768\) \(-0.022882\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6672a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 6672a do not have complex multiplication.

Modular form 6672.2.a.a

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