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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 91035.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
91035.b1 | 91035q1 | \([0, 0, 1, -94503, -10713906]\) | \(443032031678464/21012699645\) | \(4426976573908245\) | \([]\) | \(608256\) | \(1.7628\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 91035.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 91035.b do not have complex multiplication.Modular form 91035.2.a.b
sage: E.q_eigenform(10)