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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 160080bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
160080.j1 | 160080bv1 | \([0, -1, 0, -169563381, 849914477181]\) | \(-131631542171643599790505984/44988384234391875\) | \(-184272421824069120000\) | \([]\) | \(25159680\) | \(3.2452\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160080bv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 160080bv do not have complex multiplication.Modular form 160080.2.a.bv
sage: E.q_eigenform(10)