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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 1850m
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 1850.h1 | 1850m1 | \([1, -1, 1, -3105, 72177]\) | \(-132384574175625/11484004352\) | \(-287100108800\) | \([]\) | \(4416\) | \(0.94288\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1850m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1850m do not have complex multiplication.Modular form 1850.2.a.m
sage: E.q_eigenform(10)