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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 16562bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16562.bc1 | 16562bv1 | \([1, 0, 0, -36, -92]\) | \(-48013/4\) | \(-430612\) | \([]\) | \(3744\) | \(-0.17347\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16562bv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 16562bv do not have complex multiplication.Modular form 16562.2.a.bv
sage: E.q_eigenform(10)