Properties

Label 48400.e
Number of curves $1$
Conductor $48400$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 48400.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
48400.e1 48400dl1 \([0, 0, 0, -710875, 890106250]\) \(-2803221/22528\) \(-319277809664000000000\) \([]\) \(2534400\) \(2.6172\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 48400.e1 has rank \(2\).

Complex multiplication

The elliptic curves in class 48400.e do not have complex multiplication.

Modular form 48400.2.a.e

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{7} + 6 q^{9} - 5 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display