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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 283220.bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
283220.bv1 | 283220bv1 | \([0, 0, 0, -99127, -23592226]\) | \(-3024/5\) | \(-178109800843224320\) | \([]\) | \(5160960\) | \(2.0010\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 283220.bv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 283220.bv do not have complex multiplication.Modular form 283220.2.a.bv
sage: E.q_eigenform(10)