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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 11154b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11154.i1 | 11154b1 | \([1, 1, 0, -7777, 274357]\) | \(-10779215329/658944\) | \(-3180596829696\) | \([]\) | \(24192\) | \(1.1537\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11154b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11154b do not have complex multiplication.Modular form 11154.2.a.b
sage: E.q_eigenform(10)