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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 22050.bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22050.bv1 | 22050cl1 | \([1, -1, 0, -69408117, -222706368459]\) | \(-1103770289367265/891813888\) | \(-29877897588940800000000\) | \([]\) | \(4377600\) | \(3.2422\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22050.bv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22050.bv do not have complex multiplication.Modular form 22050.2.a.bv
sage: E.q_eigenform(10)