Properties

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

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 215600.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
215600.t1 215600gi1 \([0, 1, 0, -408, -9437]\) \(-12544/55\) \(-33013750000\) \([]\) \(165888\) \(0.70329\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 215600.t1 has rank \(1\).

Complex multiplication

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

Modular form 215600.2.a.t

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{9} - q^{11} - q^{13} + 2 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display