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SageMath
E = EllipticCurve("if1")
E.isogeny_class()
Elliptic curves in class 159936.if
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 159936.if1 | 159936bd1 | \([0, 1, 0, 12033215, 204951354047]\) | \(15001431500460925919/1421324083670155776\) | \(-18256987448891836471443456\) | \([]\) | \(36495360\) | \(3.5267\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159936.if1 has rank \(0\).
Complex multiplication
The elliptic curves in class 159936.if do not have complex multiplication.Modular form 159936.2.a.if
sage: E.q_eigenform(10)