Show commands:
SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 103056s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103056.f1 | 103056s1 | \([0, -1, 0, 15659, -196451]\) | \(103664033202176/63847694259\) | \(-261520155684864\) | \([]\) | \(373248\) | \(1.4556\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103056s1 has rank \(2\).
Complex multiplication
The elliptic curves in class 103056s do not have complex multiplication.Modular form 103056.2.a.s
sage: E.q_eigenform(10)