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SageMath
E = EllipticCurve("ik1")
E.isogeny_class()
Elliptic curves in class 58800.ik
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 58800.ik1 | 58800ef1 | \([0, 1, 0, -116048, -15694092]\) | \(-2390122/81\) | \(-5857406763264000\) | \([]\) | \(408576\) | \(1.7994\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.ik1 has rank \(0\).
Complex multiplication
The elliptic curves in class 58800.ik do not have complex multiplication.Modular form 58800.2.a.ik
sage: E.q_eigenform(10)