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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 271040e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
271040.e1 | 271040e1 | \([0, 0, 0, -199408, 35308768]\) | \(-30211716096/1071875\) | \(-31111445657600000\) | \([]\) | \(4569600\) | \(1.9370\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 271040e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 271040e do not have complex multiplication.Modular form 271040.2.a.e
sage: E.q_eigenform(10)