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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 274890.bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
274890.bv1 | 274890bv1 | \([1, 0, 1, 86606, -1409194]\) | \(610641930681719/360747465210\) | \(-42441578534491290\) | \([]\) | \(3088800\) | \(1.8799\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 274890.bv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 274890.bv do not have complex multiplication.Modular form 274890.2.a.bv
sage: E.q_eigenform(10)