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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 26010.bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26010.bv1 | 26010br1 | \([1, -1, 1, -437, -8211]\) | \(-43713001/116640\) | \(-24573831840\) | \([]\) | \(17280\) | \(0.68123\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26010.bv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 26010.bv do not have complex multiplication.Modular form 26010.2.a.bv
sage: E.q_eigenform(10)