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SageMath
E = EllipticCurve("ip1")
E.isogeny_class()
Elliptic curves in class 88200ip
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 88200.im1 | 88200ip1 | \([0, 0, 0, -102900, 15194900]\) | \(-8780800/2187\) | \(-30011281060320000\) | \([]\) | \(628992\) | \(1.8796\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88200ip1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88200ip do not have complex multiplication.Modular form 88200.2.a.ip
sage: E.q_eigenform(10)