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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 81120.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
81120.l1 | 81120c1 | \([0, -1, 0, -56, -300]\) | \(-228488/375\) | \(-32448000\) | \([]\) | \(19584\) | \(0.13220\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 81120.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 81120.l do not have complex multiplication.Modular form 81120.2.a.l
sage: E.q_eigenform(10)