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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 1755.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1755.b1 | 1755f1 | \([0, 0, 1, 3, 0]\) | \(110592/65\) | \(-1755\) | \([]\) | \(120\) | \(-0.68809\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1755.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1755.b do not have complex multiplication.Modular form 1755.2.a.b
sage: E.q_eigenform(10)