Properties

Label 9800.c
Number of curves $1$
Conductor $9800$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 9800.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9800.c1 9800bl1 \([0, 0, 0, 245, 3430]\) \(270\) \(-6023628800\) \([]\) \(8640\) \(0.55943\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9800.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 9800.c do not have complex multiplication.

Modular form 9800.2.a.c

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