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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 11858u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11858.a1 | 11858u1 | \([1, -1, 0, -688, 5704]\) | \(415233/88\) | \(7638971032\) | \([]\) | \(17280\) | \(0.61090\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11858u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11858u do not have complex multiplication.Modular form 11858.2.a.u
sage: E.q_eigenform(10)