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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 224400.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
224400.c1 | 224400eh1 | \([0, -1, 0, 187, -1683]\) | \(7024640/15147\) | \(-1551052800\) | \([]\) | \(142080\) | \(0.44776\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 224400.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 224400.c do not have complex multiplication.Modular form 224400.2.a.c
sage: E.q_eigenform(10)