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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 33135.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33135.e1 | 33135b1 | \([1, 1, 1, -6156, -188472]\) | \(11679607249441/91125\) | \(201295125\) | \([]\) | \(27648\) | \(0.76673\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33135.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 33135.e do not have complex multiplication.Modular form 33135.2.a.e
sage: E.q_eigenform(10)