Properties

Label 388416.ib
Number of curves $1$
Conductor $388416$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ib1")
 
E.isogeny_class()
 

Elliptic curves in class 388416.ib

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
388416.ib1 388416ib1 \([0, 1, 0, 18111, 1131039]\) \(30004847/42336\) \(-926926780760064\) \([]\) \(1658880\) \(1.5575\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 388416.ib1 has rank \(1\).

Complex multiplication

The elliptic curves in class 388416.ib do not have complex multiplication.

Modular form 388416.2.a.ib

sage: E.q_eigenform(10)
 
\(q + q^{3} + 3 q^{5} - q^{7} + q^{9} - q^{11} - 4 q^{13} + 3 q^{15} + O(q^{20})\) Copy content Toggle raw display