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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 23064j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23064.f1 | 23064j1 | \([0, -1, 0, 176, -23]\) | \(1257728/729\) | \(-347482224\) | \([]\) | \(6144\) | \(0.32831\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23064j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 23064j do not have complex multiplication.Modular form 23064.2.a.j
sage: E.q_eigenform(10)