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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 324870b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
324870.b1 | 324870b1 | \([1, 1, 0, -337733, -71629683]\) | \(739029704143129/44698080960\) | \(257675541816288960\) | \([]\) | \(5419008\) | \(2.0933\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 324870b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 324870b do not have complex multiplication.Modular form 324870.2.a.b
sage: E.q_eigenform(10)