Properties

Label 148120.q
Number of curves $1$
Conductor $148120$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 148120.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
148120.q1 148120y1 \([0, -1, 0, -297060, -76193900]\) \(-21407308460010064/6179146071875\) \(-836804677637600000\) \([]\) \(1689600\) \(2.1539\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 148120.q1 has rank \(2\).

Complex multiplication

The elliptic curves in class 148120.q do not have complex multiplication.

Modular form 148120.2.a.q

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{7} - 2 q^{9} - 5 q^{11} + 2 q^{13} - q^{15} - q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display