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SageMath
E = EllipticCurve("ik1")
E.isogeny_class()
Elliptic curves in class 88200ik
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 88200.gv1 | 88200ik1 | \([0, 0, 0, 2625, -30625]\) | \(1280\) | \(-1562793750000\) | \([]\) | \(92160\) | \(1.0278\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88200ik1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88200ik do not have complex multiplication.Modular form 88200.2.a.ik
sage: E.q_eigenform(10)