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SageMath
E = EllipticCurve("fp1")
E.isogeny_class()
Elliptic curves in class 369600.fp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
369600.fp1 | 369600fp1 | \([0, -1, 0, -903, -10143]\) | \(50950428160/33957\) | \(54331200\) | \([]\) | \(147456\) | \(0.42299\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 369600.fp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 369600.fp do not have complex multiplication.Modular form 369600.2.a.fp
sage: E.q_eigenform(10)