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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 100026.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100026.e1 | 100026d1 | \([1, -1, 1, -6926, 232733]\) | \(-50394699308953/2458238976\) | \(-1792056213504\) | \([]\) | \(314496\) | \(1.1130\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100026.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 100026.e do not have complex multiplication.Modular form 100026.2.a.e
sage: E.q_eigenform(10)