Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 33930.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33930.d1 | 33930b1 | \([1, -1, 0, -23415, 8696925]\) | \(-52583908959625707/1178125000000000\) | \(-31809375000000000\) | \([]\) | \(282240\) | \(1.8473\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33930.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 33930.d do not have complex multiplication.Modular form 33930.2.a.d
sage: E.q_eigenform(10)