Show commands:
SageMath
E = EllipticCurve("dl1")
E.isogeny_class()
Elliptic curves in class 29400dl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29400.o1 | 29400dl1 | \([0, -1, 0, 292, 5412]\) | \(560/3\) | \(-14700000000\) | \([]\) | \(23040\) | \(0.63303\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29400dl1 has rank \(2\).
Complex multiplication
The elliptic curves in class 29400dl do not have complex multiplication.Modular form 29400.2.a.dl
sage: E.q_eigenform(10)