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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 121275bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121275.g1 | 121275bn1 | \([0, 0, 1, -1991115, -1081395394]\) | \(61549867008/1331\) | \(18878334678559125\) | \([]\) | \(3290112\) | \(2.2396\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121275bn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 121275bn do not have complex multiplication.Modular form 121275.2.a.bn
sage: E.q_eigenform(10)