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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 187200.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
187200.f1 | 187200b1 | \([0, 0, 0, -7875, 270000]\) | \(-2963520/13\) | \(-236925000000\) | \([]\) | \(307200\) | \(1.0356\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187200.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 187200.f do not have complex multiplication.Modular form 187200.2.a.f
sage: E.q_eigenform(10)