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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 864.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
864.h1 | 864g1 | \([0, 0, 0, -27, 162]\) | \(-216\) | \(-10077696\) | \([]\) | \(144\) | \(0.028531\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 864.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 864.h do not have complex multiplication.Modular form 864.2.a.h
sage: E.q_eigenform(10)