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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 29400.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29400.c1 | 29400bc1 | \([0, -1, 0, -11433, -558963]\) | \(-8780800/2187\) | \(-41167738080000\) | \([]\) | \(78624\) | \(1.3303\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29400.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 29400.c do not have complex multiplication.Modular form 29400.2.a.c
sage: E.q_eigenform(10)