Properties

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

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 66248.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
66248.h1 66248v1 \([0, -1, 0, -35884, -1802191]\) \(3328\) \(1535518457518864\) \([]\) \(235872\) \(1.6192\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 66248.h1 has rank \(1\).

Complex multiplication

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

Modular form 66248.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{5} - 2 q^{9} + q^{11} + 2 q^{15} - 3 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display