Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 45504m
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 45504.x1 | 45504m1 | \([0, 0, 0, -2028, -33104]\) | \(4826809/316\) | \(60388540416\) | \([]\) | \(46080\) | \(0.81846\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 45504m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 45504m do not have complex multiplication.Modular form 45504.2.a.m
sage: E.q_eigenform(10)