Properties

Label 215985.i
Number of curves $1$
Conductor $215985$
CM no
Rank $0$

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

Elliptic curves in class 215985.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
215985.i1 215985z1 \([1, 1, 1, -134736, -19097286]\) \(-1261924529569/401625\) \(-86091885581625\) \([]\) \(1444608\) \(1.6489\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 215985.i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 215985.i do not have complex multiplication.

Modular form 215985.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} - q^{4} - q^{5} + q^{6} - q^{7} + 3 q^{8} + q^{9} + q^{10} + q^{12} - 3 q^{13} + q^{14} + q^{15} - q^{16} - q^{17} - q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display