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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 443822.m
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 443822.m1 | 443822m1 | \([1, 0, 0, -1831710384455, -954173256822727927]\) | \(30664713906029807787577317783049/502930726923911431438336\) | \(11147138254412056271610602998841344\) | \([]\) | \(6906332160\) | \(5.6648\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 443822.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 443822.m do not have complex multiplication.Modular form 443822.2.a.m
sage: E.q_eigenform(10)