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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 22743.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22743.h1 | 22743j1 | \([1, -1, 1, -11, -16]\) | \(-13851/7\) | \(-68229\) | \([]\) | \(2016\) | \(-0.36758\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22743.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 22743.h do not have complex multiplication.Modular form 22743.2.a.h
sage: E.q_eigenform(10)