Show commands:
SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 13552l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13552.l1 | 13552l1 | \([0, 0, 0, -803, 15906]\) | \(-115538049/153664\) | \(-76158337024\) | \([]\) | \(6912\) | \(0.78080\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13552l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 13552l do not have complex multiplication.Modular form 13552.2.a.l
sage: E.q_eigenform(10)