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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 248430.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
248430.l1 | 248430l1 | \([1, 1, 0, -7036042913, -227197479059403]\) | \(-28253264609835195889/4297784624640\) | \(-5859831956286531800075466240\) | \([]\) | \(345461760\) | \(4.3407\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 248430.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 248430.l do not have complex multiplication.Modular form 248430.2.a.l
sage: E.q_eigenform(10)