Properties

Label 19074.t
Number of curves $1$
Conductor $19074$
CM no
Rank $0$

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

Elliptic curves in class 19074.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
19074.t1 19074l1 \([1, 1, 1, 572, -7375]\) \(71608817375/128079468\) \(-37014966252\) \([]\) \(16128\) \(0.71269\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19074.t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 19074.t do not have complex multiplication.

Modular form 19074.2.a.t

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