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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 91035bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
91035.v1 | 91035bv1 | \([1, -1, 1, -4558307, -2343380844]\) | \(172032746578729129/60555631504375\) | \(3687039169281263289375\) | \([]\) | \(5054400\) | \(2.8395\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 91035bv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 91035bv do not have complex multiplication.Modular form 91035.2.a.bv
sage: E.q_eigenform(10)