Properties

Label 1650p
Number of curves $1$
Conductor $1650$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 1650p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1650.p1 1650p1 \([1, 1, 1, -13, 1031]\) \(-625/1188\) \(-464062500\) \([]\) \(720\) \(0.34193\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1650p1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1650p do not have complex multiplication.

Modular form 1650.2.a.p

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} + 3 q^{7} + q^{8} + q^{9} + q^{11} - q^{12} + 3 q^{14} + q^{16} + 5 q^{17} + q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display