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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 47320.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47320.b1 | 47320s1 | \([0, 0, 0, -69628, 7285252]\) | \(-30211716096/1071875\) | \(-1324476389600000\) | \([]\) | \(492480\) | \(1.6739\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47320.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 47320.b do not have complex multiplication.Modular form 47320.2.a.b
sage: E.q_eigenform(10)