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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 12138u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12138.u1 | 12138u1 | \([1, 1, 1, 523951, 62603183]\) | \(2280364702703/1560674304\) | \(-10886885389105496064\) | \([]\) | \(416160\) | \(2.3415\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12138u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 12138u do not have complex multiplication.Modular form 12138.2.a.u
sage: E.q_eigenform(10)