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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 184041e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
184041.e1 | 184041e1 | \([0, 0, 1, 674817, 40207846]\) | \(45056/27\) | \(-20365397328609668907\) | \([]\) | \(7299072\) | \(2.3943\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 184041e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 184041e do not have complex multiplication.Modular form 184041.2.a.e
sage: E.q_eigenform(10)