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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 370881.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
370881.l1 | 370881l1 | \([1, -1, 1, -54898115, 287165633150]\) | \(-177625/243\) | \(-25032151883884398254589483\) | \([]\) | \(76003200\) | \(3.5660\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 370881.l1 has rank \(2\).
Complex multiplication
The elliptic curves in class 370881.l do not have complex multiplication.Modular form 370881.2.a.l
sage: E.q_eigenform(10)