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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 379050.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.u1 | 379050u1 | \([1, 1, 0, -18415700, -29544366000]\) | \(20822343029/688128\) | \(22825908727104000000000\) | \([]\) | \(42681600\) | \(3.0633\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 379050.u do not have complex multiplication.Modular form 379050.2.a.u
sage: E.q_eigenform(10)