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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 219328c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 219328.f1 | 219328c1 | \([0, 0, 0, -11276, -1157104]\) | \(-604851819993/1856392192\) | \(-486642074779648\) | \([]\) | \(622080\) | \(1.5049\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 219328c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 219328c do not have complex multiplication.Modular form 219328.2.a.c
sage: E.q_eigenform(10)