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SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 31200.ce
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
31200.ce1 | 31200cc1 | \([0, 1, 0, -1121133, -457301637]\) | \(-2435092894982656/88846875\) | \(-5686200000000000\) | \([]\) | \(322560\) | \(2.1110\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 31200.ce1 has rank \(0\).
Complex multiplication
The elliptic curves in class 31200.ce do not have complex multiplication.Modular form 31200.2.a.ce
sage: E.q_eigenform(10)