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SageMath
E = EllipticCurve("ia1")
E.isogeny_class()
Elliptic curves in class 248430ia
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 248430.ia1 | 248430ia1 | \([1, 0, 0, -1123431, -2815807905]\) | \(-662989657192009/14097531093750\) | \(-3334258408093524843750\) | \([]\) | \(22579200\) | \(2.8107\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 248430ia1 has rank \(0\).
Complex multiplication
The elliptic curves in class 248430ia do not have complex multiplication.Modular form 248430.2.a.ia
sage: E.q_eigenform(10)