Show commands:
SageMath
E = EllipticCurve("dh1")
E.isogeny_class()
Elliptic curves in class 323400.dh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
323400.dh1 | 323400dh1 | \([0, -1, 0, -408, -15588]\) | \(-240100/3267\) | \(-102453120000\) | \([]\) | \(248832\) | \(0.79431\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 323400.dh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 323400.dh do not have complex multiplication.Modular form 323400.2.a.dh
sage: E.q_eigenform(10)