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SageMath
E = EllipticCurve("ig1")
E.isogeny_class()
Elliptic curves in class 388416.ig
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 388416.ig1 | 388416ig1 | \([0, 1, 0, 116031, -6462657]\) | \(2280364702703/1560674304\) | \(-118236085972107264\) | \([]\) | \(4700160\) | \(1.9646\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388416.ig1 has rank \(0\).
Complex multiplication
The elliptic curves in class 388416.ig do not have complex multiplication.Modular form 388416.2.a.ig
sage: E.q_eigenform(10)