Properties

Label 1216.c
Number of curves $1$
Conductor $1216$
CM no
Rank $0$

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

Elliptic curves in class 1216.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1216.c1 1216h1 \([0, 1, 0, -85, -333]\) \(-4194304/19\) \(-311296\) \([]\) \(192\) \(-0.094357\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1216.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1216.c do not have complex multiplication.

Modular form 1216.2.a.c

sage: E.q_eigenform(10)
 
\(q - 2q^{3} + q^{5} - 3q^{7} + q^{9} - 5q^{11} + 4q^{13} - 2q^{15} - 3q^{17} + q^{19} + O(q^{20})\)  Toggle raw display