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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 4800.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4800.x1 | 4800bj1 | \([0, -1, 0, -3, -3]\) | \(-2560/3\) | \(-4800\) | \([]\) | \(192\) | \(-0.59960\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4800.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4800.x do not have complex multiplication.Modular form 4800.2.a.x
sage: E.q_eigenform(10)