Properties

Label 215600a
Number of curves $1$
Conductor $215600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 215600a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
215600.g1 215600a1 \([0, 0, 0, -11515, 1835050]\) \(-2803221/22528\) \(-1357003096064000\) \([]\) \(1596672\) \(1.5865\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 215600a1 has rank \(1\).

Complex multiplication

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

Modular form 215600.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + 6 q^{9} + q^{11} + 5 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display