Properties

Label 185150.q
Number of curves $1$
Conductor $185150$
CM no
Rank $0$

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

Elliptic curves in class 185150.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
185150.q1 185150ce1 \([1, -1, 0, 12171133, -3922860459]\) \(137927116575/84410368\) \(-122028944020480000000000\) \([]\) \(19261440\) \(3.1191\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 185150.q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 185150.q do not have complex multiplication.

Modular form 185150.2.a.q

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{7} - q^{8} - 3 q^{9} + 4 q^{11} - q^{13} + q^{14} + q^{16} + 3 q^{17} + 3 q^{18} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display