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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 108836.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
108836.e1 | 108836b1 | \([0, -1, 0, 282, -14171]\) | \(32000/1127\) | \(-87037019888\) | \([]\) | \(53856\) | \(0.77906\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 108836.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 108836.e do not have complex multiplication.Modular form 108836.2.a.e
sage: E.q_eigenform(10)