Properties

Label 215600.i
Number of curves $1$
Conductor $215600$
CM no
Rank $0$

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

Elliptic curves in class 215600.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
215600.i1 215600e1 \([0, 0, 0, -3812935, 2905796530]\) \(-8142048846461520/132632423693\) \(-99866060896369644800\) \([]\) \(15482880\) \(2.6377\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 215600.i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 215600.i do not have complex multiplication.

Modular form 215600.2.a.i

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + 6 q^{9} + q^{11} + 6 q^{13} - 5 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display