Properties

Label 215475.i
Number of curves $1$
Conductor $215475$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands for: SageMath
sage: E = EllipticCurve("i1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 215475.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
215475.i1 215475d1 \([0, 1, 1, -1408, -36656]\) \(-692224/867\) \(-386912296875\) \([]\) \(418560\) \(0.91683\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 215475.i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 215475.i do not have complex multiplication.

Modular form 215475.2.a.i

sage: E.q_eigenform(10)
 
\(q - 2q^{2} + q^{3} + 2q^{4} - 2q^{6} + 3q^{7} + q^{9} + 4q^{11} + 2q^{12} - 6q^{14} - 4q^{16} - q^{17} - 2q^{18} - 4q^{19} + O(q^{20})\)  Toggle raw display