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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 109554b
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 109554.c1 | 109554b1 | \([1, 1, 0, -249355014, 1536092816328]\) | \(-2010409280180424553/31887805608612\) | \(-27196823607246027084041892\) | \([]\) | \(41983920\) | \(3.6816\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 109554b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 109554b do not have complex multiplication.Modular form 109554.2.a.b
sage: E.q_eigenform(10)