Show commands:
SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 79560.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
79560.s1 | 79560bl1 | \([0, 0, 0, -120108, 148302052]\) | \(-1026767289066496/50316682419315\) | \(-9390300539822242560\) | \([]\) | \(1697280\) | \(2.3205\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 79560.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 79560.s do not have complex multiplication.Modular form 79560.2.a.s
sage: E.q_eigenform(10)