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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 28322.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28322.bc1 | 28322w1 | \([1, 0, 0, -58605, 5455841]\) | \(654699641761/112\) | \(3808062832\) | \([]\) | \(96768\) | \(1.2370\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28322.bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28322.bc do not have complex multiplication.Modular form 28322.2.a.bc
sage: E.q_eigenform(10)