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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 9702b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9702.p1 | 9702b1 | \([1, -1, 0, -32349, 2276357]\) | \(-24052806603/360448\) | \(-56103596752896\) | \([]\) | \(40320\) | \(1.4415\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9702b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9702b do not have complex multiplication.Modular form 9702.2.a.b
sage: E.q_eigenform(10)