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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 127995.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
127995.f1 | 127995m1 | \([1, 1, 1, 0, -30]\) | \(-1/383985\) | \(-383985\) | \([]\) | \(13632\) | \(-0.24959\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 127995.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 127995.f do not have complex multiplication.Modular form 127995.2.a.f
sage: E.q_eigenform(10)