Elliptic curve isogeny class with LMFDB label 1215.a (Cremona label 1215c)

• Label: 1215.a
• Number of curves: $1$
• Conductor: $1215$
• CM: no
• Rank: $1$

Elliptic curves in class 1215.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1215.a1	1215c1	$[0, 0, 1, 27, -16]$	$995328/625$	$-1366875$	$[]$	$216$	$-0.13361$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 1215.a1 has rank $1$.

Complex multiplication

The elliptic curves in class 1215.a do not have complex multiplication.

Modular form 1215.2.a.a