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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 1441.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1441.b1 | 1441b1 | \([0, 0, 1, 29, -29]\) | \(2697228288/1917971\) | \(-1917971\) | \([]\) | \(448\) | \(-0.10599\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1441.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1441.b do not have complex multiplication.Modular form 1441.2.a.b
sage: E.q_eigenform(10)