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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 28392.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28392.b1 | 28392u1 | \([0, -1, 0, -320272, -77958596]\) | \(-20994006260678308/3063651608241\) | \(-530183292715754496\) | \([]\) | \(460800\) | \(2.1313\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28392.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 28392.b do not have complex multiplication.Modular form 28392.2.a.b
sage: E.q_eigenform(10)