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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 7440.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7440.c1 | 7440j1 | \([0, -1, 0, -166411976, -856188267024]\) | \(-124427822010671478697670089/5317924709672681472000\) | \(-21782219610819303309312000\) | \([]\) | \(2185920\) | \(3.6280\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7440.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7440.c do not have complex multiplication.Modular form 7440.2.a.c
sage: E.q_eigenform(10)