Properties

Label 20328.c
Number of curves $1$
Conductor $20328$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 20328.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20328.c1 20328o1 \([0, -1, 0, -28596, 1875249]\) \(-91238612224/251559\) \(-7130433817584\) \([]\) \(34560\) \(1.3394\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20328.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 20328.c do not have complex multiplication.

Modular form 20328.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - q^{7} + q^{9} + 3 q^{13} + q^{15} - 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display