Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 3822.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3822.d1 | 3822g1 | \([1, 1, 0, 332, -7496]\) | \(11743520417/80199288\) | \(-27508355784\) | \([]\) | \(2880\) | \(0.68483\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3822.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3822.d do not have complex multiplication.Modular form 3822.2.a.d
sage: E.q_eigenform(10)