Properties

Label 84966m
Number of curves $1$
Conductor $84966$
CM no
Rank $0$

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

Elliptic curves in class 84966m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
84966.s1 84966m1 \([1, 1, 0, 4763, -52667]\) \(10100279/6936\) \(-8203490750616\) \([]\) \(207360\) \(1.1666\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 84966m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 84966m do not have complex multiplication.

Modular form 84966.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} - q^{8} + q^{9} - q^{10} - 3 q^{11} - q^{12} - 6 q^{13} - q^{15} + q^{16} - q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display