Show commands:
SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 405600bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
405600.bh1 | 405600bh1 | \([0, -1, 0, -238008, 87613512]\) | \(-228488/375\) | \(-2447192163000000000\) | \([]\) | \(6110208\) | \(2.2194\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405600bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 405600bh do not have complex multiplication.Modular form 405600.2.a.bh
sage: E.q_eigenform(10)