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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 18097b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18097.a1 | 18097b1 | \([1, 1, 1, -10, 6]\) | \(111284641/18097\) | \(18097\) | \([]\) | \(2160\) | \(-0.46112\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18097b1 has rank \(3\).
Complex multiplication
The elliptic curves in class 18097b do not have complex multiplication.Modular form 18097.2.a.b
sage: E.q_eigenform(10)