Properties

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

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 26775.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26775.v1 26775bs1 \([0, 0, 1, -23072250, -42637118594]\) \(4769863992106516480/2480098920957\) \(706246919288145703125\) \([]\) \(2217600\) \(2.9514\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26775.v1 has rank \(1\).

Complex multiplication

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

Modular form 26775.2.a.v

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} - q^{7} + 5 q^{11} - 6 q^{13} + 4 q^{16} - q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display