Label 60984.e
Number of curves $1$
Conductor $60984$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("e1")
sage: E.isogeny_class()

Elliptic curves in class 60984.e

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
60984.e1 60984l1 \([0, 0, 0, -1616439, -791081181]\) \(-610325920583424/55240493\) \(-42276342104455536\) \([]\) \(921600\) \(2.2297\) \(\Gamma_0(N)\)-optimal


sage: E.rank()

The elliptic curve 60984.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 60984.e do not have complex multiplication.

Modular form 60984.2.a.e

sage: E.q_eigenform(10)
\(q - 3q^{5} + q^{7} + 3q^{13} - 6q^{17} - q^{19} + O(q^{20})\)  Toggle raw display