Properties

Label 66300u
Number of curves $1$
Conductor $66300$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 66300u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
66300.f1 66300u1 \([0, -1, 0, -1638, -25203]\) \(-243164694272/2490891\) \(-4981782000\) \([]\) \(43776\) \(0.67881\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 66300u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 66300u do not have complex multiplication.

Modular form 66300.2.a.u

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