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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 1849b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1849.c1 | 1849b1 | \([1, 0, 1, -39, -27]\) | \(1849\) | \(3418801\) | \([]\) | \(210\) | \(-0.055260\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1849b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1849b do not have complex multiplication.Modular form 1849.2.a.b
sage: E.q_eigenform(10)