Properties

Label 277200mm
Number of curves $1$
Conductor $277200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("mm1")
 
E.isogeny_class()
 

Elliptic curves in class 277200mm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
277200.mm1 277200mm1 \([0, 0, 0, -675, -30375]\) \(-6912/77\) \(-378897750000\) \([]\) \(215040\) \(0.90371\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 277200mm1 has rank \(1\).

Complex multiplication

The elliptic curves in class 277200mm do not have complex multiplication.

Modular form 277200.2.a.mm

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