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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 142912.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
142912.c1 | 142912b1 | \([0, 0, 0, -124, -152]\) | \(205915392/109417\) | \(112043008\) | \([]\) | \(73728\) | \(0.23594\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142912.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 142912.c do not have complex multiplication.Modular form 142912.2.a.c
sage: E.q_eigenform(10)