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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 106575.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
106575.u1 | 106575y1 | \([1, 1, 1, -813, 24156]\) | \(-77626969/293625\) | \(-224806640625\) | \([]\) | \(82944\) | \(0.86382\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106575.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 106575.u do not have complex multiplication.Modular form 106575.2.a.u
sage: E.q_eigenform(10)