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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 28400o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28400.z1 | 28400o1 | \([0, 0, 0, -1050475, -412699750]\) | \(2003092024307193/9529458688\) | \(609885356032000000\) | \([]\) | \(995328\) | \(2.2619\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28400o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 28400o do not have complex multiplication.Modular form 28400.2.a.o
sage: E.q_eigenform(10)