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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 8624.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8624.b1 | 8624p1 | \([0, 0, 0, -4459, -91238]\) | \(415233/88\) | \(2077910990848\) | \([]\) | \(24192\) | \(1.0781\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8624.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8624.b do not have complex multiplication.Modular form 8624.2.a.b
sage: E.q_eigenform(10)