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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 11310.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11310.l1 | 11310l1 | \([1, 0, 0, 875, -15625]\) | \(74082708125999/149327343750\) | \(-149327343750\) | \([]\) | \(14976\) | \(0.82856\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11310.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11310.l do not have complex multiplication.Modular form 11310.2.a.l
sage: E.q_eigenform(10)