Properties

Label 327990.t
Number of curves $1$
Conductor $327990$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 327990.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
327990.t1 327990t1 \([1, 0, 1, -18, -242]\) \(-707281/29250\) \(-24599250\) \([]\) \(108000\) \(0.098300\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 327990.t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 327990.t do not have complex multiplication.

Modular form 327990.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} + 2 q^{7} - q^{8} + q^{9} - q^{10} + 4 q^{11} + q^{12} + q^{13} - 2 q^{14} + q^{15} + q^{16} + 2 q^{17} - q^{18} + 6 q^{19} + O(q^{20})\)  Toggle raw display