Properties

Label 19650t
Number of curves $1$
Conductor $19650$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 19650t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
19650.v1 19650t1 \([1, 1, 1, -413, 7031]\) \(-498677257/1145988\) \(-17906062500\) \([]\) \(21504\) \(0.65580\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19650t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 19650t do not have complex multiplication.

Modular form 19650.2.a.t

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} + 2 q^{7} + q^{8} + q^{9} + 3 q^{11} - q^{12} + 5 q^{13} + 2 q^{14} + q^{16} - 7 q^{17} + q^{18} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display