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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 1224.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1224.c1 | 1224a1 | \([0, 0, 0, 12, 4]\) | \(27648/17\) | \(-117504\) | \([]\) | \(64\) | \(-0.33799\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1224.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1224.c do not have complex multiplication.Modular form 1224.2.a.c
sage: E.q_eigenform(10)