Show commands:
SageMath
E = EllipticCurve("ha1")
E.isogeny_class()
Elliptic curves in class 69696ha
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69696.gx1 | 69696ha1 | \([0, 0, 0, 15972, -146410]\) | \(45056/27\) | \(-270030454702272\) | \([]\) | \(253440\) | \(1.4584\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69696ha1 has rank \(0\).
Complex multiplication
The elliptic curves in class 69696ha do not have complex multiplication.Modular form 69696.2.a.ha
sage: E.q_eigenform(10)