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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 9072.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9072.f1 | 9072x1 | \([0, 0, 0, 1269, -56646]\) | \(934407/6272\) | \(-1516975423488\) | \([]\) | \(12096\) | \(1.0190\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9072.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9072.f do not have complex multiplication.Modular form 9072.2.a.f
sage: E.q_eigenform(10)