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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 156702.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
156702.bb1 | 156702cc1 | \([1, 0, 1, 221454, -8577404]\) | \(10209133395200375/6179378429952\) | \(-726997692905422848\) | \([]\) | \(2480640\) | \(2.1165\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 156702.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 156702.bb do not have complex multiplication.Modular form 156702.2.a.bb
sage: E.q_eigenform(10)