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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 482448bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
482448.bh1 | 482448bh1 | \([0, 1, 0, 28919, 1363331]\) | \(70575104/61731\) | \(-2339431286747904\) | \([]\) | \(2365440\) | \(1.6366\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 482448bh1 has rank \(2\).
Complex multiplication
The elliptic curves in class 482448bh do not have complex multiplication.Modular form 482448.2.a.bh
sage: E.q_eigenform(10)