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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 109554.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
109554.u1 | 109554t1 | \([1, 0, 0, -1756, 655832]\) | \(-623145289729/193076295624\) | \(-185546320094664\) | \([]\) | \(332640\) | \(1.4170\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 109554.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 109554.u do not have complex multiplication.Modular form 109554.2.a.u
sage: E.q_eigenform(10)