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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 11154.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11154.z1 | 11154v1 | \([1, 1, 1, 120, -1071]\) | \(1130197991/3865224\) | \(-653222856\) | \([]\) | \(5760\) | \(0.37449\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11154.z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11154.z do not have complex multiplication.Modular form 11154.2.a.z
sage: E.q_eigenform(10)