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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 222180.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
222180.b1 | 222180y1 | \([0, -1, 0, -595301, 177229185]\) | \(-615640662016/978075\) | \(-37066291746220800\) | \([]\) | \(2787840\) | \(2.0773\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 222180.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 222180.b do not have complex multiplication.Modular form 222180.2.a.b
sage: E.q_eigenform(10)