Properties

Label 85800.p
Number of curves $1$
Conductor $85800$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 85800.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
85800.p1 85800j1 \([0, -1, 0, 792, -1188]\) \(85737500/50193\) \(-32123520000\) \([]\) \(76032\) \(0.70548\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 85800.p1 has rank \(2\).

Complex multiplication

The elliptic curves in class 85800.p do not have complex multiplication.

Modular form 85800.2.a.p

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