Properties

Label 11025.c
Number of curves $1$
Conductor $11025$
CM no
Rank $1$

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

Elliptic curves in class 11025.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11025.c1 11025bd1 \([0, 0, 1, -1575, -41344]\) \(-110592/125\) \(-488373046875\) \([]\) \(16128\) \(0.93726\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11025.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 11025.c do not have complex multiplication.

Modular form 11025.2.a.c

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} - q^{11} + 3 q^{13} - 4 q^{16} + 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display