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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 5400bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5400.w1 | 5400bn1 | \([0, 0, 0, -75, 875]\) | \(-768/5\) | \(-303750000\) | \([]\) | \(1152\) | \(0.31110\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5400bn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5400bn do not have complex multiplication.Modular form 5400.2.a.bn
sage: E.q_eigenform(10)