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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 24546.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
24546.c1 | 24546c1 | \([1, 0, 1, -812, 11882]\) | \(-59104797349177/27485236224\) | \(-27485236224\) | \([]\) | \(23680\) | \(0.70929\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 24546.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 24546.c do not have complex multiplication.Modular form 24546.2.a.c
sage: E.q_eigenform(10)