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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 4800.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4800.g1 | 4800bx1 | \([0, -1, 0, -1083, 102537]\) | \(-5624320/177147\) | \(-4428675000000\) | \([]\) | \(10560\) | \(1.1070\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4800.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4800.g do not have complex multiplication.Modular form 4800.2.a.g
sage: E.q_eigenform(10)