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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 133200.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
133200.u1 | 133200bu1 | \([0, 0, 0, -468075, 125572250]\) | \(-243087455521/5328000\) | \(-248583168000000000\) | \([]\) | \(1548288\) | \(2.1271\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 133200.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 133200.u do not have complex multiplication.Modular form 133200.2.a.u
sage: E.q_eigenform(10)