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SageMath
E = EllipticCurve("ef1")
E.isogeny_class()
Elliptic curves in class 119952ef
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 119952.bb1 | 119952ef1 | \([0, 0, 0, -31899, -1666294]\) | \(208537/51\) | \(877893781008384\) | \([]\) | \(602112\) | \(1.5780\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 119952ef1 has rank \(0\).
Complex multiplication
The elliptic curves in class 119952ef do not have complex multiplication.Modular form 119952.2.a.ef
sage: E.q_eigenform(10)