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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 450840.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450840.b1 | 450840b1 | \([0, -1, 0, -13016, 3385980]\) | \(-824122740964/16216331625\) | \(-4798996315776000\) | \([]\) | \(2488320\) | \(1.6899\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450840.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 450840.b do not have complex multiplication.Modular form 450840.2.a.b
sage: E.q_eigenform(10)