Properties

Label 216384co
Number of curves $1$
Conductor $216384$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("co1")
 
E.isogeny_class()
 

Elliptic curves in class 216384co

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
216384.l1 216384co1 \([0, -1, 0, 36371263, -149328310431]\) \(503009937352889/1201583849472\) \(-12710901825965980517400576\) \([]\) \(50319360\) \(3.5010\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 216384co1 has rank \(1\).

Complex multiplication

The elliptic curves in class 216384co do not have complex multiplication.

Modular form 216384.2.a.co

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} + q^{9} + 2 q^{11} - 5 q^{13} + 3 q^{15} + 4 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display