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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 4600.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4600.b1 | 4600g1 | \([0, 1, 0, 7, 43]\) | \(1024/23\) | \(-736000\) | \([]\) | \(704\) | \(-0.19399\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4600.b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 4600.b do not have complex multiplication.Modular form 4600.2.a.b
sage: E.q_eigenform(10)