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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 10626.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10626.l1 | 10626m1 | \([1, 1, 1, -13, -25]\) | \(-244140625/21252\) | \(-21252\) | \([]\) | \(928\) | \(-0.42546\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10626.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10626.l do not have complex multiplication.Modular form 10626.2.a.l
sage: E.q_eigenform(10)