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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 121275.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121275.k1 | 121275gf1 | \([0, 0, 1, -55125, -4341094]\) | \(552960/77\) | \(2579684108203125\) | \([]\) | \(921600\) | \(1.6836\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121275.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 121275.k do not have complex multiplication.Modular form 121275.2.a.k
sage: E.q_eigenform(10)