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SageMath
E = EllipticCurve("dh1")
E.isogeny_class()
Elliptic curves in class 48400dh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
48400.j1 | 48400dh1 | \([0, 1, 0, -10503808, -13106030412]\) | \(233551483825/8192\) | \(4495431560069120000\) | \([]\) | \(1976832\) | \(2.6692\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 48400dh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 48400dh do not have complex multiplication.Modular form 48400.2.a.dh
sage: E.q_eigenform(10)