Properties

Label 271950.q
Number of curves $1$
Conductor $271950$
CM no
Rank $1$

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

Elliptic curves in class 271950.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
271950.q1 271950q1 \([1, 1, 0, -20115, -1707075]\) \(-178453547/143856\) \(-725638561074000\) \([]\) \(1290240\) \(1.5498\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 271950.q1 has rank \(1\).

Complex multiplication

The elliptic curves in class 271950.q do not have complex multiplication.

Modular form 271950.2.a.q

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{8} + q^{9} - 3 q^{11} - q^{12} - 2 q^{13} + q^{16} + 3 q^{17} - q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display