Properties

Label 4312.h
Number of curves $1$
Conductor $4312$
CM no
Rank $1$

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

Elliptic curves in class 4312.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4312.h1 4312g1 \([0, 1, 0, -65, -67453]\) \(-1024/65219\) \(-1964275233536\) \([]\) \(4608\) \(1.0377\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4312.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4312.h do not have complex multiplication.

Modular form 4312.2.a.h

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