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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 393008.bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
393008.bv1 | 393008bv1 | \([0, 1, 0, -469, -24125]\) | \(-23068672/487403\) | \(-241564725248\) | \([]\) | \(345600\) | \(0.86506\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 393008.bv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 393008.bv do not have complex multiplication.Modular form 393008.2.a.bv
sage: E.q_eigenform(10)