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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 118354b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
118354.d1 | 118354b1 | \([1, 1, 0, -149755, -22880623]\) | \(-2529625/68\) | \(-9984469757093828\) | \([]\) | \(1019520\) | \(1.8519\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 118354b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 118354b do not have complex multiplication.Modular form 118354.2.a.b
sage: E.q_eigenform(10)