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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 25872c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 25872.o1 | 25872c1 | \([0, -1, 0, 264, 99]\) | \(369381632/216513\) | \(-1188223344\) | \([]\) | \(9216\) | \(0.43071\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25872c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25872c do not have complex multiplication.Modular form 25872.2.a.c
sage: E.q_eigenform(10)