Properties

Label 10350.h
Number of curves $1$
Conductor $10350$
CM no
Rank $2$

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

Elliptic curves in class 10350.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10350.h1 10350h1 \([1, -1, 0, -207, 621]\) \(53969305/23552\) \(429235200\) \([]\) \(5760\) \(0.35249\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10350.h1 has rank \(2\).

Complex multiplication

The elliptic curves in class 10350.h do not have complex multiplication.

Modular form 10350.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{7} - q^{8} - 5 q^{11} - 7 q^{13} + q^{14} + q^{16} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display