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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 18150.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18150.b1 | 18150w1 | \([1, 1, 0, 11272600, -4263172800]\) | \(1182427286584775/743008370688\) | \(-99544026821445550080000\) | \([]\) | \(2683296\) | \(3.1020\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18150.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 18150.b do not have complex multiplication.Modular form 18150.2.a.b
sage: E.q_eigenform(10)