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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 32490f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32490.k1 | 32490f1 | \([1, -1, 0, -22269, 1289633]\) | \(-347103233883/1562500\) | \(-5497917187500\) | \([]\) | \(133632\) | \(1.2965\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32490f1 has rank \(2\).
Complex multiplication
The elliptic curves in class 32490f do not have complex multiplication.Modular form 32490.2.a.f
sage: E.q_eigenform(10)