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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 102550.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102550.e1 | 102550b1 | \([1, 1, 0, -16375, -656875]\) | \(31080575499121/6303297280\) | \(98489020000000\) | \([]\) | \(353280\) | \(1.4008\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102550.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 102550.e do not have complex multiplication.Modular form 102550.2.a.e
sage: E.q_eigenform(10)