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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 122694bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
122694.bf1 | 122694bh1 | \([1, 0, 1, -12224, -183922]\) | \(674636521/342144\) | \(102435795386496\) | \([]\) | \(403200\) | \(1.3808\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 122694bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 122694bh do not have complex multiplication.Modular form 122694.2.a.bh
sage: E.q_eigenform(10)