Show commands:
SageMath
E = EllipticCurve("dl1")
E.isogeny_class()
Elliptic curves in class 78400.dl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
78400.dl1 | 78400bn1 | \([0, -1, 0, -80033, 58539937]\) | \(-196/5\) | \(-1446273274880000000\) | \([]\) | \(774144\) | \(2.1652\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78400.dl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 78400.dl do not have complex multiplication.Modular form 78400.2.a.dl
sage: E.q_eigenform(10)