Properties

Label 216384.c
Number of curves $1$
Conductor $216384$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 216384.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
216384.c1 216384cj1 \([0, -1, 0, 14635, 692301]\) \(524288/621\) \(-410576321691648\) \([]\) \(903168\) \(1.4903\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 216384.c1 has rank \(1\).

Complex multiplication

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

Modular form 216384.2.a.c

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