Properties

Label 26775.c
Number of curves $1$
Conductor $26775$
CM no
Rank $0$

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

Elliptic curves in class 26775.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26775.c1 26775ba1 \([0, 0, 1, -9525, -419594]\) \(-8390176768/1821771\) \(-20751110296875\) \([]\) \(96768\) \(1.2762\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26775.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 26775.c do not have complex multiplication.

Modular form 26775.2.a.c

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} - q^{7} + 3 q^{11} - q^{13} + 2 q^{14} - 4 q^{16} - q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display