Properties

Label 103056.h
Number of curves $1$
Conductor $103056$
CM no
Rank $1$

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

Elliptic curves in class 103056.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
103056.h1 103056b1 \([0, -1, 0, -51761, -9006003]\) \(-59910109247140864/102724634117619\) \(-26297506334110464\) \([]\) \(494592\) \(1.8413\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 103056.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 103056.h do not have complex multiplication.

Modular form 103056.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - q^{7} + q^{9} - 3 q^{11} + 2 q^{13} + q^{15} - 3 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display