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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 123627u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
123627.s1 | 123627u1 | \([1, 0, 1, -6099791, -10635764191]\) | \(-177625/243\) | \(-34337656905191218456227\) | \([]\) | \(9500400\) | \(3.0167\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 123627u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 123627u do not have complex multiplication.Modular form 123627.2.a.u
sage: E.q_eigenform(10)