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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 433200.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
433200.u1 | 433200u1 | \([0, -1, 0, 317, 862]\) | \(38912/27\) | \(-2436750000\) | \([]\) | \(221184\) | \(0.48972\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 433200.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 433200.u do not have complex multiplication.Modular form 433200.2.a.u
sage: E.q_eigenform(10)