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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 190608bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190608.m1 | 190608bn1 | \([0, -1, 0, -49596, 4267692]\) | \(145990721706064/5845851\) | \(540250166016\) | \([]\) | \(393984\) | \(1.3342\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190608bn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 190608bn do not have complex multiplication.Modular form 190608.2.a.bn
sage: E.q_eigenform(10)