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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 2535b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2535.a1 | 2535b1 | \([0, -1, 1, -32166, 2290862]\) | \(-762549907456/24024195\) | \(-115960200643755\) | \([]\) | \(14112\) | \(1.4750\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2535b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2535b do not have complex multiplication.Modular form 2535.2.a.b
sage: E.q_eigenform(10)