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SageMath
E = EllipticCurve("fk1")
E.isogeny_class()
Elliptic curves in class 119952fk
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 119952.gm1 | 119952fk1 | \([0, 0, 0, -15551571, 24189720338]\) | \(-1184052061112257/34349180544\) | \(-12066799512729804079104\) | \([]\) | \(7741440\) | \(3.0163\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 119952fk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 119952fk do not have complex multiplication.Modular form 119952.2.a.fk
sage: E.q_eigenform(10)