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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 304920k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
304920.k1 | 304920k1 | \([0, 0, 0, 11517, 109307]\) | \(119704073984/72930375\) | \(-102929847174000\) | \([]\) | \(921600\) | \(1.3780\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 304920k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 304920k do not have complex multiplication.Modular form 304920.2.a.k
sage: E.q_eigenform(10)