Properties

Label 77616.l
Number of curves $1$
Conductor $77616$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 77616.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
77616.l1 77616db1 \([0, 0, 0, -296352, -140026320]\) \(-6193152/14641\) \(-6804657978217279488\) \([]\) \(2032128\) \(2.3019\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 77616.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 77616.l do not have complex multiplication.

Modular form 77616.2.a.l

sage: E.q_eigenform(10)
 
\(q - 4 q^{5} + q^{11} + 5 q^{13} - 4 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display