Properties

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

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Show commands: SageMath
E = EllipticCurve("ex1")
 
E.isogeny_class()
 

Elliptic curves in class 215600.ex

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
215600.ex1 215600dn1 \([0, 0, 0, 8575, -300125]\) \(48384/55\) \(-79266013750000\) \([]\) \(483840\) \(1.3534\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 215600.ex1 has rank \(1\).

Complex multiplication

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

Modular form 215600.2.a.ex

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