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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 13225.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13225.l1 | 13225d1 | \([1, 1, 0, -1425, -21310]\) | \(1053224375\) | \(304175\) | \([]\) | \(7200\) | \(0.34756\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13225.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 13225.l do not have complex multiplication.Modular form 13225.2.a.l
sage: E.q_eigenform(10)