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SageMath
E = EllipticCurve("qf1")
E.isogeny_class()
Elliptic curves in class 187200.qf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
187200.qf1 | 187200cf1 | \([0, 0, 0, 1680, -452000]\) | \(351232/59319\) | \(-88562792448000\) | \([]\) | \(737280\) | \(1.3555\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187200.qf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 187200.qf do not have complex multiplication.Modular form 187200.2.a.qf
sage: E.q_eigenform(10)