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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 327990.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
327990.u1 | 327990u1 | \([1, 0, 1, 5777652, -4714773494]\) | \(42637720316519/43875000000\) | \(-21948311368663875000000\) | \([]\) | \(29315520\) | \(2.9737\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 327990.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 327990.u do not have complex multiplication.Modular form 327990.2.a.u
sage: E.q_eigenform(10)