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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 235200u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235200.u1 | 235200u1 | \([0, -1, 0, 47, -3863]\) | \(1280/729\) | \(-6401203200\) | \([]\) | \(147456\) | \(0.56071\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235200u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 235200u do not have complex multiplication.Modular form 235200.2.a.u
sage: E.q_eigenform(10)