Properties

Label 675.h
Number of curves $1$
Conductor $675$
CM no
Rank $0$

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

Elliptic curves in class 675.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
675.h1 675f1 \([1, -1, 0, -42, -19]\) \(1875\) \(4428675\) \([]\) \(108\) \(-0.033372\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 675.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 675.h do not have complex multiplication.

Modular form 675.2.a.h

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{4} - 3 q^{8} + 5 q^{11} + 5 q^{13} - q^{16} + 4 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display