Properties

Label 277200m
Number of curves $1$
Conductor $277200$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 277200m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
277200.m1 277200m1 \([0, 0, 0, -373575, 91025125]\) \(-31636584484096/1331669031\) \(-242696680899750000\) \([]\) \(3225600\) \(2.1025\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 277200m1 has rank \(0\).

Complex multiplication

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

Modular form 277200.2.a.m

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