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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 213444bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
213444.bn1 | 213444bi1 | \([0, 0, 0, -4011751128, 95546829198436]\) | \(12538427613184/330812181\) | \(188392703241980953131746432256\) | \([]\) | \(218972160\) | \(4.3986\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 213444bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 213444bi do not have complex multiplication.Modular form 213444.2.a.bi
sage: E.q_eigenform(10)