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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 155952.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
155952.e1 | 155952cp1 | \([0, 0, 0, -4332, 137180]\) | \(-3072\) | \(-2926630165248\) | \([]\) | \(344736\) | \(1.1046\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155952.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 155952.e do not have complex multiplication.Modular form 155952.2.a.e
sage: E.q_eigenform(10)