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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 91035.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
91035.bc1 | 91035e1 | \([0, 0, 1, 7242, -192402]\) | \(11728027648/11252115\) | \(-40300316285355\) | \([]\) | \(221184\) | \(1.2977\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 91035.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 91035.bc do not have complex multiplication.Modular form 91035.2.a.bc
sage: E.q_eigenform(10)