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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 479808.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
479808.b1 | 479808b1 | \([0, 0, 0, -2352, 47950]\) | \(-629407744/70227\) | \(-160549034688\) | \([]\) | \(691200\) | \(0.88745\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 479808.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 479808.b do not have complex multiplication.Modular form 479808.2.a.b
sage: E.q_eigenform(10)