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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 271950.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
271950.u1 | 271950u1 | \([1, 1, 0, -84025, 10505125]\) | \(-85692190673761/13094092800\) | \(-10025164800000000\) | \([]\) | \(2495232\) | \(1.7995\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 271950.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 271950.u do not have complex multiplication.Modular form 271950.2.a.u
sage: E.q_eigenform(10)