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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 160446bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
160446.i1 | 160446bv1 | \([1, 1, 0, -156, -1008]\) | \(-3504731857/1145664\) | \(-138625344\) | \([]\) | \(64512\) | \(0.27474\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160446bv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 160446bv do not have complex multiplication.Modular form 160446.2.a.bv
sage: E.q_eigenform(10)