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SageMath
E = EllipticCurve("ig1")
E.isogeny_class()
Elliptic curves in class 433200.ig
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
433200.ig1 | 433200ig1 | \([0, 1, 0, 228032, -199675852]\) | \(272199695/3735552\) | \(-17996015089798348800\) | \([]\) | \(6635520\) | \(2.3755\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 433200.ig1 has rank \(0\).
Complex multiplication
The elliptic curves in class 433200.ig do not have complex multiplication.Modular form 433200.2.a.ig
sage: E.q_eigenform(10)