Properties

Label 58800dr
Number of curves $1$
Conductor $58800$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("dr1")
 
E.isogeny_class()
 

Elliptic curves in class 58800dr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58800.ka1 58800dr1 \([0, 1, 0, 12, -477]\) \(1280/729\) \(-100018800\) \([]\) \(18432\) \(0.21413\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58800dr1 has rank \(1\).

Complex multiplication

The elliptic curves in class 58800dr do not have complex multiplication.

Modular form 58800.2.a.dr

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{9} + 5 q^{11} + 2 q^{13} - 6 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display