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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 397800.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
397800.b1 | 397800b1 | \([0, 0, 0, 105, -11365]\) | \(439040/191607\) | \(-55872601200\) | \([]\) | \(470016\) | \(0.74129\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 397800.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 397800.b do not have complex multiplication.Modular form 397800.2.a.b
sage: E.q_eigenform(10)