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SageMath
E = EllipticCurve("ig1")
E.isogeny_class()
Elliptic curves in class 435600.ig
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 435600.ig1 | 435600ig1 | \([0, 0, 0, 3300, -236500]\) | \(11264/75\) | \(-26462700000000\) | \([]\) | \(737280\) | \(1.2573\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 435600.ig1 has rank \(1\).
Complex multiplication
The elliptic curves in class 435600.ig do not have complex multiplication.Modular form 435600.2.a.ig
sage: E.q_eigenform(10)