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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 11592.m
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 11592.m1 | 11592m1 | \([0, 0, 0, 219825, 1004823927]\) | \(100718081964000000/37453512751940327\) | \(-436857772738631974128\) | \([]\) | \(342720\) | \(2.6396\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11592.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11592.m do not have complex multiplication.Modular form 11592.2.a.m
sage: E.q_eigenform(10)