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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 279174.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
279174.u1 | 279174u1 | \([1, 0, 1, -1483010, -698678188]\) | \(-14943832855786297/85501108224\) | \(-2063788899333267456\) | \([]\) | \(8087040\) | \(2.3560\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 279174.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 279174.u do not have complex multiplication.Modular form 279174.2.a.u
sage: E.q_eigenform(10)