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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 215600c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 215600.d1 | 215600c1 | \([0, 0, 0, -2275, 33250]\) | \(415233/88\) | \(275968000000\) | \([]\) | \(442368\) | \(0.90982\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215600c1 has rank \(2\).
Complex multiplication
The elliptic curves in class 215600c do not have complex multiplication.Modular form 215600.2.a.c
sage: E.q_eigenform(10)