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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 195083.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
195083.f1 | 195083f1 | \([1, 0, 0, -20, 54029]\) | \(-1/1421\) | \(-1261142730701\) | \([]\) | \(234000\) | \(1.0008\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 195083.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 195083.f do not have complex multiplication.Modular form 195083.2.a.f
sage: E.q_eigenform(10)