Properties

Label 35280ci
Number of curves $1$
Conductor $35280$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ci1")
 
E.isogeny_class()
 

Elliptic curves in class 35280ci

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35280.fe1 35280ci1 \([0, 0, 0, 94668, -35160244]\) \(12459008/78125\) \(-588355590060000000\) \([]\) \(376320\) \(2.0915\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35280ci1 has rank \(0\).

Complex multiplication

The elliptic curves in class 35280ci do not have complex multiplication.

Modular form 35280.2.a.ci

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