Properties

Label 18515.t
Number of curves $1$
Conductor $18515$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 18515.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
18515.t1 18515r1 \([0, 0, 1, 23, 17]\) \(2543616/1715\) \(-907235\) \([]\) \(3888\) \(-0.16812\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18515.t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 18515.t do not have complex multiplication.

Modular form 18515.2.a.t

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