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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 215475c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 215475.h1 | 215475c1 | \([0, 1, 1, -18308, -1246696]\) | \(-5624320000/2255067\) | \(-272119442280075\) | \([]\) | \(1016064\) | \(1.4785\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215475c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 215475c do not have complex multiplication.Modular form 215475.2.a.c
sage: E.q_eigenform(10)