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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 148120bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
148120.bh1 | 148120bn1 | \([0, 1, 0, -106505, 14783003]\) | \(-3525581824/462875\) | \(-17541660702944000\) | \([]\) | \(912384\) | \(1.8500\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 148120bn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 148120bn do not have complex multiplication.Modular form 148120.2.a.bn
sage: E.q_eigenform(10)