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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 376712l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
376712.l1 | 376712l1 | \([0, -1, 0, -769120, 241332869]\) | \(12544\) | \(4011165172462265104\) | \([]\) | \(5034960\) | \(2.3131\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 376712l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 376712l do not have complex multiplication.Modular form 376712.2.a.l
sage: E.q_eigenform(10)