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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 8464.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8464.b1 | 8464j1 | \([0, 0, 0, -29095, -1910219]\) | \(-1149984000/23\) | \(-54477207152\) | \([]\) | \(25344\) | \(1.1809\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8464.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8464.b do not have complex multiplication.Modular form 8464.2.a.b
sage: E.q_eigenform(10)