Show commands:
SageMath
E = EllipticCurve("fr1")
E.isogeny_class()
Elliptic curves in class 119952fr
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 119952.h1 | 119952fr1 | \([0, 0, 0, -1085070504, -13758089385796]\) | \(-6434900743458429657088/395758108932291\) | \(-8689315291499020982582016\) | \([]\) | \(46448640\) | \(3.8453\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 119952fr1 has rank \(0\).
Complex multiplication
The elliptic curves in class 119952fr do not have complex multiplication.Modular form 119952.2.a.fr
sage: E.q_eigenform(10)