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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 11109a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 11109.a1 | 11109a1 | \([0, -1, 1, 247396, -29820754]\) | \(929714176/750141\) | \(-1351118458622516283\) | \([]\) | \(231840\) | \(2.1668\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11109a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11109a do not have complex multiplication.Modular form 11109.2.a.a
sage: E.q_eigenform(10)