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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 324928b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
324928.b1 | 324928b1 | \([0, -1, 0, -293, 1981]\) | \(170368000/5077\) | \(83181568\) | \([]\) | \(65536\) | \(0.29654\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 324928b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 324928b do not have complex multiplication.Modular form 324928.2.a.b
sage: E.q_eigenform(10)