Properties

Label 213616o
Number of curves $1$
Conductor $213616$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 213616o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
213616.t1 213616o1 \([0, 1, 0, -9520, -339884]\) \(4826809/316\) \(6247512653824\) \([]\) \(338688\) \(1.2051\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 213616o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 213616o do not have complex multiplication.

Modular form 213616.2.a.o

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - 3 q^{7} - 2 q^{9} + 4 q^{11} + q^{15} - 4 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display