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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 349830e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
349830.e1 | 349830e1 | \([1, -1, 0, 686700, -92707250]\) | \(1719980649806159/1173023511750\) | \(-24423486174417885750\) | \([]\) | \(9815040\) | \(2.4088\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 349830e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 349830e do not have complex multiplication.Modular form 349830.2.a.e
sage: E.q_eigenform(10)