Properties

Label 11858h
Number of curves $1$
Conductor $11858$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 11858h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11858.k1 11858h1 \([1, -1, 0, -2459, 85861]\) \(-115538049/153664\) \(-2187488328256\) \([]\) \(13824\) \(1.0606\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11858h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 11858h do not have complex multiplication.

Modular form 11858.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} - q^{8} - 3 q^{9} - q^{10} - q^{13} + q^{16} - q^{17} + 3 q^{18} + O(q^{20})\) Copy content Toggle raw display