Properties

Label 308112.cf
Number of curves $1$
Conductor $308112$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cf1")
 
E.isogeny_class()
 

Elliptic curves in class 308112.cf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
308112.cf1 308112cf1 \([0, 1, 0, -12952, 1260692]\) \(-498677257/1145988\) \(-552240505700352\) \([]\) \(1451520\) \(1.5172\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 308112.cf1 has rank \(1\).

Complex multiplication

The elliptic curves in class 308112.cf do not have complex multiplication.

Modular form 308112.2.a.cf

sage: E.q_eigenform(10)
 
\(q + q^{3} + 2 q^{5} + q^{9} - 3 q^{11} + 5 q^{13} + 2 q^{15} - 7 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display