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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 155298l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
155298.t1 | 155298l1 | \([1, 1, 1, -57246, 423387]\) | \(20747206280950396129/11920075034689536\) | \(11920075034689536\) | \([]\) | \(1353600\) | \(1.7744\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155298l1 has rank \(2\).
Complex multiplication
The elliptic curves in class 155298l do not have complex multiplication.Modular form 155298.2.a.l
sage: E.q_eigenform(10)