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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 417450a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
417450.a1 | 417450a1 | \([1, 1, 0, -839500, -293066000]\) | \(19535526241/253920\) | \(850468860367500000\) | \([]\) | \(11151360\) | \(2.2484\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 417450a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 417450a do not have complex multiplication.Modular form 417450.2.a.a
sage: E.q_eigenform(10)