Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 349830d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
349830.d1 | 349830d1 | \([1, -1, 0, -24919335, 48905052925]\) | \(-2877787492361041/71639296000\) | \(-42601575067371051264000\) | \([]\) | \(39536640\) | \(3.1268\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 349830d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 349830d do not have complex multiplication.Modular form 349830.2.a.d
sage: E.q_eigenform(10)