Properties

Label 66248.m
Number of curves $1$
Conductor $66248$
CM no
Rank $1$

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

Elliptic curves in class 66248.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
66248.m1 66248b1 \([0, -1, 0, -35884, 2396276]\) \(10192\) \(501393782046976\) \([]\) \(224640\) \(1.5576\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 66248.m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 66248.m do not have complex multiplication.

Modular form 66248.2.a.m

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