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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 3990.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3990.f1 | 3990i1 | \([1, 1, 0, 1188, -11664]\) | \(185183253170999/171032148000\) | \(-171032148000\) | \([]\) | \(5760\) | \(0.84269\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3990.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3990.f do not have complex multiplication.Modular form 3990.2.a.f
sage: E.q_eigenform(10)