Properties

Label 31200.cd
Number of curves $1$
Conductor $31200$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("cd1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 31200.cd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
31200.cd1 31200r1 \([0, 1, 0, -2349133, 1402142363]\) \(-22400965661211136/321826171875\) \(-20596875000000000000\) \([]\) \(709632\) \(2.5109\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 31200.cd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 31200.cd do not have complex multiplication.

Modular form 31200.2.a.cd

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{7} + q^{9} + 3q^{11} + q^{13} - 3q^{17} - 6q^{19} + O(q^{20})\)  Toggle raw display