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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 73689.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
73689.h1 | 73689e1 | \([1, 1, 1, -287559, 59299824]\) | \(-1484391946907017/1946200179\) | \(-3447812335309419\) | \([]\) | \(720000\) | \(1.8882\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 73689.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 73689.h do not have complex multiplication.Modular form 73689.2.a.h
sage: E.q_eigenform(10)