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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 69828l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69828.m1 | 69828l1 | \([0, -1, 0, 28390, 4043049]\) | \(87808/297\) | \(-8559077447272176\) | \([]\) | \(397440\) | \(1.7402\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69828l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 69828l do not have complex multiplication.Modular form 69828.2.a.l
sage: E.q_eigenform(10)