Properties

Label 43245h
Number of curves $1$
Conductor $43245$
CM no
Rank $1$

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

Elliptic curves in class 43245h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43245.a1 43245h1 \([0, 0, 1, -1698087, -782914928]\) \(870928384/78125\) \(48574809866756953125\) \([]\) \(1562400\) \(2.5172\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43245h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 43245h do not have complex multiplication.

Modular form 43245.2.a.h

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} + q^{5} - 2 q^{7} - 2 q^{10} - q^{11} + 4 q^{14} - 4 q^{16} + 2 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display