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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 208088.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
208088.c1 | 208088c1 | \([0, 1, 0, -11408, -675424]\) | \(-31250/19\) | \(-99837546027008\) | \([]\) | \(414720\) | \(1.3883\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 208088.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 208088.c do not have complex multiplication.Modular form 208088.2.a.c
sage: E.q_eigenform(10)