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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 270802.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
270802.k1 | 270802k1 | \([1, -1, 0, 9132157712, 117242784756992]\) | \(5805798253576046271027/3769183309498679296\) | \(-54680092480706364912736585908224\) | \([]\) | \(1830624768\) | \(4.7788\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 270802.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 270802.k do not have complex multiplication.Modular form 270802.2.a.k
sage: E.q_eigenform(10)