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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 102550f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102550.o1 | 102550f1 | \([1, 1, 0, -15675, 876125]\) | \(-27262747722673/5763014656\) | \(-90047104000000\) | \([]\) | \(404352\) | \(1.3991\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102550f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 102550f do not have complex multiplication.Modular form 102550.2.a.f
sage: E.q_eigenform(10)