Properties

Label 35520t
Number of curves $1$
Conductor $35520$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 35520t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35520.r1 35520t1 \([0, -1, 0, -17985, 1226817]\) \(-2454365649169/1035763200\) \(-271519108300800\) \([]\) \(193536\) \(1.4774\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35520t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 35520t do not have complex multiplication.

Modular form 35520.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 5 q^{7} + q^{9} + 5 q^{11} + q^{13} - q^{15} - 5 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display