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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 11913.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11913.b1 | 11913b1 | \([1, 1, 1, 21, -510]\) | \(2828663/323433\) | \(-116759313\) | \([]\) | \(4320\) | \(0.22735\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11913.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11913.b do not have complex multiplication.Modular form 11913.2.a.b
sage: E.q_eigenform(10)