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SageMath
E = EllipticCurve("bs1")
E.isogeny_class()
Elliptic curves in class 7350.bs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7350.bs1 | 7350bw1 | \([1, 1, 1, -288, 321]\) | \(2157045625/1179648\) | \(1445068800\) | \([]\) | \(4896\) | \(0.44837\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7350.bs1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7350.bs do not have complex multiplication.Modular form 7350.2.a.bs
sage: E.q_eigenform(10)