Properties

Label 67280h
Number of curves $1$
Conductor $67280$
CM no
Rank $2$

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

Elliptic curves in class 67280h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
67280.e1 67280h1 \([0, 1, 0, -280, -972]\) \(1414562/625\) \(1076480000\) \([]\) \(26880\) \(0.42881\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 67280h1 has rank \(2\).

Complex multiplication

The elliptic curves in class 67280h do not have complex multiplication.

Modular form 67280.2.a.h

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{5} - 3 q^{7} + q^{9} - 4 q^{11} - 2 q^{13} - 2 q^{15} + 3 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display