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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 4018.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4018.b1 | 4018k1 | \([1, -1, 0, -1969, 34117]\) | \(7177888089/2296\) | \(270122104\) | \([]\) | \(5760\) | \(0.59266\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4018.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4018.b do not have complex multiplication.Modular form 4018.2.a.b
sage: E.q_eigenform(10)