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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 146523.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
146523.c1 | 146523h1 | \([0, -1, 1, -1252, -16872]\) | \(-15388672/243\) | \(-3429956907\) | \([]\) | \(130680\) | \(0.63097\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 146523.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 146523.c do not have complex multiplication.Modular form 146523.2.a.c
sage: E.q_eigenform(10)