Properties

Label 3465.h
Number of curves $1$
Conductor $3465$
CM no
Rank $1$

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

Elliptic curves in class 3465.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3465.h1 3465g1 \([0, 0, 1, 4902, -68922]\) \(17869652393984/13156171875\) \(-9590849296875\) \([]\) \(6272\) \(1.1793\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3465.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3465.h do not have complex multiplication.

Modular form 3465.2.a.h

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