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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 42978l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
42978.j1 | 42978l1 | \([1, 1, 1, 1276667, -2378603125]\) | \(230121178137769364003375/2578414527172744445952\) | \(-2578414527172744445952\) | \([]\) | \(1942080\) | \(2.7894\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 42978l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 42978l do not have complex multiplication.Modular form 42978.2.a.l
sage: E.q_eigenform(10)