Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 1216.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1216.i1 1216n1 \([0, 0, 0, -14, 606]\) \(-4741632/2476099\) \(-158470336\) \([]\) \(480\) \(0.25252\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1216.i1 has rank \(1\).

Complex multiplication

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

Modular form 1216.2.a.i

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