Properties

Label 146072.a
Number of curves $1$
Conductor $146072$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 146072.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
146072.a1 146072f1 \([0, -1, 0, -8008, 397676]\) \(-31250/19\) \(-34534543235072\) \([]\) \(241920\) \(1.2998\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 146072.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 146072.a do not have complex multiplication.

Modular form 146072.2.a.a

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