Properties

Label 27797a
Number of curves $1$
Conductor $27797$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 27797a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
27797.e1 27797a1 \([0, 0, 1, 722, -1715]\) \(884736/539\) \(-25357729859\) \([]\) \(26208\) \(0.68557\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 27797a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 27797a do not have complex multiplication.

Modular form 27797.2.a.a

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - 2 q^{4} - q^{5} - q^{7} + 6 q^{9} - q^{11} - 6 q^{12} + 4 q^{13} - 3 q^{15} + 4 q^{16} + 2 q^{17} + O(q^{20})\) Copy content Toggle raw display