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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 28880bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28880.n1 | 28880bc1 | \([0, -1, 0, 9559160, -11013756688]\) | \(73087061741/81920000\) | \(-108276024123620065280000\) | \([]\) | \(2480640\) | \(3.1064\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28880bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28880bc do not have complex multiplication.Modular form 28880.2.a.bc
sage: E.q_eigenform(10)