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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 287490u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
287490.u1 | 287490u1 | \([1, 1, 0, 1141718, -2364427436]\) | \(64148915349791/978796224000\) | \(-2511323320946279616000\) | \([]\) | \(17729280\) | \(2.7869\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 287490u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 287490u do not have complex multiplication.Modular form 287490.2.a.u
sage: E.q_eigenform(10)