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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 11154s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11154.r1 | 11154s1 | \([1, 0, 1, -93968, 14400830]\) | \(-8653002877/3449952\) | \(-36585013820880096\) | \([]\) | \(74880\) | \(1.8870\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11154s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11154s do not have complex multiplication.Modular form 11154.2.a.s
sage: E.q_eigenform(10)