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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 6762.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6762.bh1 | 6762bm1 | \([1, 0, 0, -106, -3676]\) | \(-2689684081/117006336\) | \(-5733310464\) | \([]\) | \(3744\) | \(0.55254\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6762.bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6762.bh do not have complex multiplication.Modular form 6762.2.a.bh
sage: E.q_eigenform(10)