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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 121275.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121275.l1 | 121275ca1 | \([0, 0, 1, -36015, -2626094]\) | \(5419008/11\) | \(10486893619125\) | \([]\) | \(408576\) | \(1.3851\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121275.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 121275.l do not have complex multiplication.Modular form 121275.2.a.l
sage: E.q_eigenform(10)