Properties

Label 216.d
Number of curves $1$
Conductor $216$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 216.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
216.d1 216d1 \([0, 0, 0, -108, -540]\) \(-3072\) \(-45349632\) \([]\) \(72\) \(0.18171\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 216.d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 216.d do not have complex multiplication.

Modular form 216.2.a.d

sage: E.q_eigenform(10)
 
\(q + 4 q^{5} - 3 q^{7} + 4 q^{11} + q^{13} - 4 q^{17} - q^{19} + O(q^{20})\)  Toggle raw display